120036556800 has 768 divisors, whose sum is σ = 453124718400. Its totient is φ = 31531991040.

The previous prime is 120036556763. The next prime is 120036556811. The reversal of 120036556800 is 8655630021.

120036556800 is a `hidden beast` number, since 1 + 20 + 0 + 3 + 6 + 556 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 47 ways as a sum of consecutive naturals, for example, 1791590367 + ... + 1791590433.

Almost surely, 2^120036556800 is an apocalyptic number.

120036556800 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 120036556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226562359200).

120036556800 is an abundant number, since it is smaller than the sum of its proper divisors (333088161600).

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

120036556800 is an frugal number, since it uses more digits than its factorization.

120036556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 120036556800 in words is "one hundred twenty billion, thirty-six million, five hundred fifty-six thousand, eight hundred".