121658874900480 has 624 divisors, whose sum is σ = 425493647822880. Its totient is φ = 32151306240000.

The previous prime is 121658874900443. The next prime is 121658874900533. The reversal of 121658874900480 is 84009478856121.

121658874900480 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 5 + 88 + 74 + 9 + 0 + 0 + 480 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15397904530 + ... + 15397912430.

It is an arithmetic number, because the mean of its divisors is an integer number (681880845870).

Almost surely, 2^{121658874900480} is an apocalyptic number.

121658874900480 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 121658874900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212746823911440).

121658874900480 is an abundant number, since it is smaller than the sum of its proper divisors (303834772922400).

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

121658874900480 is a wasteful number, since it uses less digits than its factorization.

121658874900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 121658874900480 in words is "one hundred twenty-one trillion, six hundred fifty-eight billion, eight hundred seventy-four million, nine hundred thousand, four hundred eighty".