2112
2112 is a concept album set in that year.
- Even
- Composite
Where 2112 fits
Why 2112 is special
It was made after the band was told commercially unsuccessful experimentation would end their contract, and it succeeded, which is why it is cited so often.
2112 is part of
Factors & digit properties
- Divisors (28)
- 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 2112
- Prime factorisation
- 2^6 × 3 × 11
- Digit sum
- 6
- Digital root
- 6
Representations
- Decimal
- 2112
- Scientific notation
- 2.112 × 10^3
Roman numerals
M M C X I I
Binary
1 0 0 0 0 1 0 0 0 0 0 0
1 × 2,048 + 0 × 1,024 + 0 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 2,112
Octal
4 1 0 0
4 × 512 + 1 × 64 + 0 × 8 + 0 × 1 = 2,112
Hexadecimal
8 4 0
8 × 256 + 4 × 16 + 0 × 1 = 2,112
Read as powers of two: 2,048 + 64 = 2,112.
In historical numeral systems
Egyptian
2 lotuses, 1 coil of rope, 1 hobble, 2 strokes
2 × 1,000 + 1 × 100 + 1 × 10 + 2 × 1 = 2,112. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
3 corner wedges + 5 vertical wedges (sixties place), 1 corner wedge + 2 vertical wedges (units place)
35 × 60 + 12 = 2112. Places are separated by a space on the tablet, with the higher place written first.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Palindromic number
- Abundant number
- Happy number
- Harshad (Niven) number
Related numbers & connections
One album is named for a fictional year and the other for its own catalogue number.
View 90125 →Media & popular culture
2112, released by Rush in 1976, is built around a side-length suite set in the year 2112. It followed commercial pressure to produce more conventional material and became the band's commercial breakthrough.
DocumentedMedia & popular cultureGeography: CanadaPeriod: 1976
Common questions
Is 2112 a prime number?
No, 2112 is not prime.
What are the factors of 2112?
The factors of 2112 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 2112.
What is 2112 in Roman numerals?
2112 in Roman numerals is MMCXII.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 15 July 2026