| Base | Representation |
|---|---|
| bin | 111110111000101… |
| … | …1110100010001000 |
| 3 | 12110001120022101010 |
| 4 | 1331301132202020 |
| 5 | 13310142401440 |
| 6 | 545215123520 |
| 7 | 103201512351 |
| oct | 17561364210 |
| 9 | 5401508333 |
| 10 | 2110122120 |
| 11 | 993121a87 |
| 12 | 4aa8135a0 |
| 13 | 278223192 |
| 14 | 160362d28 |
| 15 | c53b6580 |
| hex | 7dc5e888 |
2110122120 has 128 divisors (see below), whose sum is σ = 6704778240. Its totient is φ = 530154240.
The previous prime is 2110122109. The next prime is 2110122137. The reversal of 2110122120 is 212210112.
2110122120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×21101221202 = 8905230722626588800, 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 = 2110122096 and 2110122105.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179215 + ... + 190625.
It is an arithmetic number, because the mean of its divisors is an integer number (52381080).
Almost surely, 22110122120 is an apocalyptic number.
2110122120 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 2110122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352389120).
2110122120 is an abundant number, since it is smaller than the sum of its proper divisors (4594656120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2110122120 is a wasteful number, since it uses less digits than its factorization.
2110122120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11515 (or 11511 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
The square root of 2110122120 is about 45936.0655694412. The cubic root of 2110122120 is about 1282.6333563247.
Adding to 2110122120 its reverse (212210112), we get a palindrome (2322332232).
The spelling of 2110122120 in words is "two billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty".
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