| Base | Representation |
|---|---|
| bin | 111001000011101010… |
| … | …0100100101110100100 |
| 3 | 102201021021200112102021 |
| 4 | 1302013110210232210 |
| 5 | 4001420011324024 |
| 6 | 132142250152524 |
| 7 | 11565251505400 |
| oct | 1620724445644 |
| 9 | 381237615367 |
| 10 | 122529401764 |
| 11 | 47a67720100 |
| 12 | 1b8b6a22744 |
| 13 | b72923c3c3 |
| 14 | 5d0524c100 |
| 15 | 32c208cde4 |
| hex | 1c87524ba4 |
122529401764 has 81 divisors (see below), whose sum is σ = 274292868801. Its totient is φ = 47717725440.
The previous prime is 122529401759. The next prime is 122529401767. The reversal of 122529401764 is 467104925221.
The square root of 122529401764 is 350042.
It is a perfect power (a square), and thus also a powerful number.
122529401764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 109117908900 + 13411492864 = 330330^2 + 115808^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 122529401764.
It is not an unprimeable number, because it can be changed into a prime (122529401767) 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 26 ways as a sum of consecutive naturals, for example, 53905332 + ... + 53907604.
Almost surely, 2122529401764 is an apocalyptic number.
122529401764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
122529401764 is the 350042-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122529401764
122529401764 is an abundant number, since it is smaller than the sum of its proper divisors (151763467037).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122529401764 is an equidigital number, since it uses as much as digits as its factorization.
122529401764 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4586 (or 2293 counting only the distinct ones).
The product of its (nonzero) digits is 241920, while the sum is 43.
The spelling of 122529401764 in words is "one hundred twenty-two billion, five hundred twenty-nine million, four hundred one thousand, seven hundred sixty-four".
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