121791358080 has 768 divisors, whose sum is σ = 508106390400. Its totient is φ = 27486756864.

The previous prime is 121791358079. The next prime is 121791358103. The reversal of 121791358080 is 80853197121.

121791358080 is a `hidden beast` number, since 1 + 217 + 9 + 1 + 358 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70276894 + ... + 70278626.

Almost surely, 2^121791358080 is an apocalyptic number.

121791358080 is a gapful number since it is divisible by the number (10) 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 121791358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254053195200).

121791358080 is an abundant number, since it is smaller than the sum of its proper divisors (386315032320).

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

121791358080 is a wasteful number, since it uses less digits than its factorization.

121791358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 121791358080 in words is "one hundred twenty-one billion, seven hundred ninety-one million, three hundred fifty-eight thousand, eighty".