120208800 has 72 divisors (see below), whose sum is σ = 391287456. Its totient is φ = 32055040.

The previous prime is 120208789. The next prime is 120208807. The reversal of 120208800 is 8802021.

It is not an unprimeable number, because it can be changed into a prime (120208807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22644 + ... + 27443.

It is an arithmetic number, because the mean of its divisors is an integer number (5434548).

Almost surely, 2^120208800 is an apocalyptic number.

120208800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120208800 is an abundant number, since it is smaller than the sum of its proper divisors (271078656).

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

120208800 is a wasteful number, since it uses less digits than its factorization.

120208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50110 (or 50097 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 120208800 is about 10963.9773804947. The cubic root of 120208800 is about 493.5283297002.

The spelling of 120208800 in words is "one hundred twenty million, two hundred eight thousand, eight hundred".