121362565565601 has 16 divisors (see below), whose sum is σ = 179870966896320. Its totient is φ = 80874818984160.

The previous prime is 121362565565551. The next prime is 121362565565617. The reversal of 121362565565601 is 106565565263121.

121362565565601 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 6 + 25 + 6 + 5 + 5 + 6 + 5 + 601 = 666.

It is not a de Polignac number, because 121362565565601 - 2⁶ = 121362565565537 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (121362565065601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932102020 + ... + 932232213.

It is an arithmetic number, because the mean of its divisors is an integer number (11241935431020).

Almost surely, 2^{121362565565601} is an apocalyptic number.

It is an amenable number.

121362565565601 is a deficient number, since it is larger than the sum of its proper divisors (58508401330719).

121362565565601 is a wasteful number, since it uses less digits than its factorization.

121362565565601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864336653 (or 1864336647 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 121362565565601 in words is "one hundred twenty-one trillion, three hundred sixty-two billion, five hundred sixty-five million, five hundred sixty-five thousand, six hundred one".