| Base | Representation |
|---|---|
| bin | 111001000011110111… |
| … | …1111100000100010100 |
| 3 | 102201021210011222121000 |
| 4 | 1302013233330010110 |
| 5 | 4001423330402002 |
| 6 | 132143104023300 |
| 7 | 11565366463350 |
| oct | 1620757740424 |
| 9 | 381253158530 |
| 10 | 122536575252 |
| 11 | 47a7077a703 |
| 12 | 1b8b9301b30 |
| 13 | b72a881580 |
| 14 | 5d06198460 |
| 15 | 32c2a0861c |
| hex | 1c87bfc114 |
122536575252 has 192 divisors, whose sum is σ = 391449945600. Its totient is φ = 32280145920.
The previous prime is 122536575251. The next prime is 122536575269. The reversal of 122536575252 is 252575635221.
122536575252 is a `hidden beast` number, since 1 + 2 + 2 + 53 + 6 + 575 + 25 + 2 = 666.
122536575252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 122536575198 and 122536575207.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122536575251) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9123502 + ... + 9136922.
It is an arithmetic number, because the mean of its divisors is an integer number (2038801800).
Almost surely, 2122536575252 is an apocalyptic number.
122536575252 is a gapful number since it is divisible by the number (12) 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 122536575252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195724972800).
122536575252 is an abundant number, since it is smaller than the sum of its proper divisors (268913370348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122536575252 is a wasteful number, since it uses less digits than its factorization.
122536575252 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14383 (or 14375 counting only the distinct ones).
The product of its digits is 1260000, while the sum is 45.
The spelling of 122536575252 in words is "one hundred twenty-two billion, five hundred thirty-six million, five hundred seventy-five thousand, two hundred fifty-two".
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