120407193762672 has 160 divisors (see below), whose sum is σ = 314210201760000. Its totient is φ = 39729971957760.

The previous prime is 120407193762671. The next prime is 120407193762703. The reversal of 120407193762672 is 276267391704021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120407193762671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13606865704 + ... + 13606874552.

It is an arithmetic number, because the mean of its divisors is an integer number (1963813761000).

Almost surely, 2^{120407193762672} is an apocalyptic number.

120407193762672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120407193762672 is an abundant number, since it is smaller than the sum of its proper divisors (193803007997328).

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

120407193762672 is a wasteful number, since it uses less digits than its factorization.

120407193762672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14759 (or 14753 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 57.

The spelling of 120407193762672 in words is "one hundred twenty trillion, four hundred seven billion, one hundred ninety-three million, seven hundred sixty-two thousand, six hundred seventy-two".