122971567415008 has 48 divisors (see below), whose sum is σ = 260768028507840. Its totient is φ = 56746386740736.

The previous prime is 122971567414979. The next prime is 122971567415023. The reversal of 122971567415008 is 800514765179221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22883935 + ... + 27741982.

It is an arithmetic number, because the mean of its divisors is an integer number (5432667260580).

Almost surely, 2^{122971567415008} is an apocalyptic number.

It is an amenable number.

122971567415008 is an abundant number, since it is smaller than the sum of its proper divisors (137796461092832).

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

122971567415008 is a wasteful number, since it uses less digits than its factorization.

122971567415008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50631779 (or 50631771 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 58.

The spelling of 122971567415008 in words is "one hundred twenty-two trillion, nine hundred seventy-one billion, five hundred sixty-seven million, four hundred fifteen thousand, eight".