120008371636800 has 252 divisors, whose sum is σ = 430451287205940. Its totient is φ = 31708633559040.

The previous prime is 120008371636781. The next prime is 120008371636849. The reversal of 120008371636800 is 8636173800021.

120008371636800 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 8 + 3 + 7 + 1 + 636 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13541634570816 + 106466737065984 = 3679896^2 + 10318272^2 .

It is a super-2 number, since 2×120008371636800² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36659367 + ... + 39798566.

It is an arithmetic number, because the mean of its divisors is an integer number (1708140028595).

Almost surely, 2^{120008371636800} is an apocalyptic number.

120008371636800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120008371636800 is an abundant number, since it is smaller than the sum of its proper divisors (310442915569140).

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

120008371636800 is a wasteful number, since it uses less digits than its factorization.

120008371636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76458070 (or 76458052 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 120008371636800 in words is "one hundred twenty trillion, eight billion, three hundred seventy-one million, six hundred thirty-six thousand, eight hundred".