121564465121 has 24 divisors (see below), whose sum is σ = 139521221952. Its totient is φ = 105639098400.

The previous prime is 121564465111. The next prime is 121564465153.

121564465121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121564465121 - 2¹⁴ = 121564448737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121564465111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4497770 + ... + 4524716.

It is an arithmetic number, because the mean of its divisors is an integer number (5813384248).

Almost surely, 2^121564465121 is an apocalyptic number.

121564465121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121564465121 is a deficient number, since it is larger than the sum of its proper divisors (17956756831).

121564465121 is a wasteful number, since it uses less digits than its factorization.

121564465121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28613 (or 28602 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

It can be divided in two parts, 121564 and 465121, that added together give a palindrome (586685).

The spelling of 121564465121 in words is "one hundred twenty-one billion, five hundred sixty-four million, four hundred sixty-five thousand, one hundred twenty-one".