120418352800 has 72 divisors (see below), whose sum is σ = 297274527900. Its totient is φ = 47626106880.

The previous prime is 120418352773. The next prime is 120418352833. The reversal of 120418352800 is 8253814021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 41751566224 + 78666786576 = 204332^2 + 280476^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774435 + ... + 916834.

Almost surely, 2^120418352800 is an apocalyptic number.

120418352800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120418352800 is an abundant number, since it is smaller than the sum of its proper divisors (176856175100).

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

120418352800 is a wasteful number, since it uses less digits than its factorization.

120418352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691378 (or 1691365 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 120418352800 in words is "one hundred twenty billion, four hundred eighteen million, three hundred fifty-two thousand, eight hundred".