120391380172800 has 3264 divisors, whose sum is σ = 521254728990720. Its totient is φ = 26938441728000.

The previous prime is 120391380172759. The next prime is 120391380172853. The reversal of 120391380172800 is 8271083193021.

120391380172800 is a `hidden beast` number, since 1 + 20 + 3 + 9 + 1 + 380 + 172 + 80 + 0 = 666.

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

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, 346949222227 + ... + 346949222573.

Almost surely, 2^{120391380172800} is an apocalyptic number.

120391380172800 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 120391380172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260627364495360).

120391380172800 is an abundant number, since it is smaller than the sum of its proper divisors (400863348817920).

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

120391380172800 is a wasteful number, since it uses less digits than its factorization.

120391380172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 120391380172800 in words is "one hundred twenty trillion, three hundred ninety-one billion, three hundred eighty million, one hundred seventy-two thousand, eight hundred".