120556800 has 648 divisors, whose sum is σ = 553547904. Its totient is φ = 24330240.

The previous prime is 120556781. The next prime is 120556817. The reversal of 120556800 is 8655021.

120556800 = 88³ + 89³ + ... + 152³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241589 + ... + 5241611.

Almost surely, 2^120556800 is an apocalyptic number.

120556800 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 120556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276773952).

120556800 is an abundant number, since it is smaller than the sum of its proper divisors (432991104).

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

120556800 is a wasteful number, since it uses less digits than its factorization.

120556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 120556800 is about 10979.8360643500. The cubic root of 120556800 is about 494.0041195764.

The spelling of 120556800 in words is "one hundred twenty million, five hundred fifty-six thousand, eight hundred".