120076922468160 has 1344 divisors, whose sum is σ = 536014389081600. Its totient is φ = 24010305306624.

The previous prime is 120076922468159. The next prime is 120076922468171. The reversal of 120076922468160 is 61864229670021.

120076922468160 is a `hidden beast` number, since 1 + 20 + 0 + 76 + 92 + 2 + 468 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 120076922468097 and 120076922468106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 344945076 + ... + 345293004.

Almost surely, 2^{120076922468160} is an apocalyptic number.

120076922468160 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 120076922468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268007194540800).

120076922468160 is an abundant number, since it is smaller than the sum of its proper divisors (415937466613440).

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

120076922468160 is a wasteful number, since it uses less digits than its factorization.

120076922468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348048 (or 348035 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 120076922468160 in words is "one hundred twenty trillion, seventy-six billion, nine hundred twenty-two million, four hundred sixty-eight thousand, one hundred sixty".