120855200 has 72 divisors (see below), whose sum is σ = 310605120. Its totient is φ = 45792000.

The previous prime is 120855191. The next prime is 120855233. The reversal of 120855200 is 2558021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11225 + ... + 19175.

It is an arithmetic number, because the mean of its divisors is an integer number (4313960).

Almost surely, 2^120855200 is an apocalyptic number.

120855200 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 120855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155302560).

120855200 is an abundant number, since it is smaller than the sum of its proper divisors (189749920).

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

120855200 is a wasteful number, since it uses less digits than its factorization.

120855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 120855200 is about 10993.4162115332. The cubic root of 120855200 is about 494.4113670962.

The spelling of 120855200 in words is "one hundred twenty million, eight hundred fifty-five thousand, two hundred".