122567295273264 has 480 divisors, whose sum is σ = 363367043020800. Its totient is φ = 38491671398400.

The previous prime is 122567295273253. The next prime is 122567295273281. The reversal of 122567295273264 is 462372592765221.

122567295273264 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 6 + 72 + 9 + 527 + 32 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36795944079 + ... + 36795947409.

It is an arithmetic number, because the mean of its divisors is an integer number (757014672960).

Almost surely, 2^{122567295273264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122567295273264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181683521510400).

122567295273264 is an abundant number, since it is smaller than the sum of its proper divisors (240799747747536).

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

122567295273264 is a wasteful number, since it uses less digits than its factorization.

122567295273264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4112 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 122567295273264 in words is "one hundred twenty-two trillion, five hundred sixty-seven billion, two hundred ninety-five million, two hundred seventy-three thousand, two hundred sixty-four".