| Base | Representation |
|---|---|
| bin | 10110100010100111… |
| … | …10110010101101000 |
| 3 | 1011020101020202111000 |
| 4 | 23101103312111220 |
| 5 | 144241000413130 |
| 6 | 5320454435000 |
| 7 | 605613461541 |
| oct | 132123662550 |
| 9 | 34211222430 |
| 10 | 12101576040 |
| 11 | 515002a214 |
| 12 | 2418962a60 |
| 13 | 11ab20a7a8 |
| 14 | 82b2dd4c8 |
| 15 | 4ac637260 |
| hex | 2d14f6568 |
12101576040 has 256 divisors, whose sum is σ = 42323212800. Its totient is φ = 3069868032.
The previous prime is 12101575991. The next prime is 12101576041. The reversal of 12101576040 is 4067510121.
It is a happy number.
12101576040 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 1 + 57 + 604 + 0 = 666.
12101576040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 12101575995 and 12101576013.
It is not an unprimeable number, because it can be changed into a prime (12101576041) by changing a digit.
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, 4892244 + ... + 4894716.
It is an arithmetic number, because the mean of its divisors is an integer number (165325050).
Almost surely, 212101576040 is an apocalyptic number.
12101576040 is a gapful number since it is divisible by the number (10) 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 12101576040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21161606400).
12101576040 is an abundant number, since it is smaller than the sum of its proper divisors (30221636760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12101576040 is a wasteful number, since it uses less digits than its factorization.
12101576040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2713 (or 2703 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 27.
The spelling of 12101576040 in words is "twelve billion, one hundred one million, five hundred seventy-six thousand, forty".
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