122706752526864 has 375 divisors, whose sum is σ = 390815093068015. Its totient is φ = 37169242355520.

The previous prime is 122706752526859. The next prime is 122706752526889. The reversal of 122706752526864 is 468625257607221.

The square root of 122706752526864 is 11077308.

It is a perfect power (a square), and thus also a powerful number.

122706752526864 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 0 + 6 + 7 + 525 + 26 + 86 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 48252752377 + ... + 48252754919.

Almost surely, 2^{122706752526864} is an apocalyptic number.

122706752526864 is the 11077308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122706752526864

122706752526864 is an abundant number, since it is smaller than the sum of its proper divisors (268108340541151).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122706752526864 is an frugal number, since it uses more digits than its factorization.

122706752526864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 122706752526864 in words is "one hundred twenty-two trillion, seven hundred six billion, seven hundred fifty-two million, five hundred twenty-six thousand, eight hundred sixty-four".