121607432110080 has 2176 divisors, whose sum is σ = 524733625958400. Its totient is φ = 26118765674496.

The previous prime is 121607432110061. The next prime is 121607432110093. The reversal of 121607432110080 is 80011234706121.

121607432110080 is a `hidden beast` number, since 1 + 2 + 1 + 607 + 4 + 32 + 1 + 10 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84041071917 + ... + 84041073363.

Almost surely, 2^{121607432110080} is an apocalyptic number.

121607432110080 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 121607432110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262366812979200).

121607432110080 is an abundant number, since it is smaller than the sum of its proper divisors (403126193848320).

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

121607432110080 is an equidigital number, since it uses as much as digits as its factorization.

121607432110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 121607432110080 in words is "one hundred twenty-one trillion, six hundred seven billion, four hundred thirty-two million, one hundred ten thousand, eighty".