| Base | Representation |
|---|---|
| bin | 111110111100100… |
| … | …0110010100111000 |
| 3 | 12110012022211010010 |
| 4 | 1331321012110320 |
| 5 | 13311200320440 |
| 6 | 545330021520 |
| 7 | 103224503415 |
| oct | 17571062470 |
| 9 | 5405284103 |
| 10 | 2112120120 |
| 11 | 994267120 |
| 12 | 4ab4178a0 |
| 13 | 278772726 |
| 14 | 16072310c |
| 15 | c565d580 |
| hex | 7de46538 |
2112120120 has 256 divisors, whose sum is σ = 7443809280. Its totient is φ = 473702400.
The previous prime is 2112120097. The next prime is 2112120133. The reversal of 2112120120 is 210212112.
It is a super-2 number, since 2×21121201202 = 8922102802617628800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 2112120096 and 2112120105.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1368069 + ... + 1369611.
It is an arithmetic number, because the mean of its divisors is an integer number (29077380).
Almost surely, 22112120120 is an apocalyptic number.
2112120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2112120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721904640).
2112120120 is an abundant number, since it is smaller than the sum of its proper divisors (5331689160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112120120 is a wasteful number, since it uses less digits than its factorization.
2112120120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1646 (or 1642 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
The square root of 2112120120 is about 45957.8080417245. The cubic root of 2112120120 is about 1283.0380553392.
Adding to 2112120120 its reverse (210212112), we get a palindrome (2322332232).
The spelling of 2112120120 in words is "two billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".
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