121579928064 has 480 divisors, whose sum is σ = 411767680896. Its totient is φ = 33819033600.

The previous prime is 121579928047. The next prime is 121579928069. The reversal of 121579928064 is 460829975121.

It is a happy number.

121579928064 is a `hidden beast` number, since 1 + 2 + 1 + 579 + 9 + 2 + 8 + 0 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121579928064.

It is not an unprimeable number, because it can be changed into a prime (121579928069) 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 47 ways as a sum of consecutive naturals, for example, 218276074 + ... + 218276630.

Almost surely, 2^121579928064 is an apocalyptic number.

121579928064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121579928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205883840448).

121579928064 is an abundant number, since it is smaller than the sum of its proper divisors (290187752832).

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

121579928064 is a wasteful number, since it uses less digits than its factorization.

121579928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 121579928064 in words is "one hundred twenty-one billion, five hundred seventy-nine million, nine hundred twenty-eight thousand, sixty-four".