121405368564 has 24 divisors (see below), whose sum is σ = 314754659520. Its totient is φ = 40468456152.

The previous prime is 121405368563. The next prime is 121405368569. The reversal of 121405368564 is 465863504121.

121405368564 is a `hidden beast` number, since 1 + 21 + 4 + 0 + 5 + 3 + 68 + 564 = 666.

121405368564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121405368563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562061784 + ... + 562061999.

It is an arithmetic number, because the mean of its divisors is an integer number (13114777480).

Almost surely, 2^121405368564 is an apocalyptic number.

It is an amenable number.

121405368564 is an abundant number, since it is smaller than the sum of its proper divisors (193349290956).

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

121405368564 is a wasteful number, since it uses less digits than its factorization.

121405368564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124123796 (or 1124123788 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 121405368564 in words is "one hundred twenty-one billion, four hundred five million, three hundred sixty-eight thousand, five hundred sixty-four".