120904200 has 72 divisors (see below), whose sum is σ = 406042650. Its totient is φ = 32240640.

The previous prime is 120904193. The next prime is 120904213. The reversal of 120904200 is 2409021.

It can be written as a sum of positive squares in 3 ways, for example, as 70862724 + 50041476 = 8418^2 + 7074^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31785 + ... + 35384.

Almost surely, 2^120904200 is an apocalyptic number.

120904200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120904200 is an abundant number, since it is smaller than the sum of its proper divisors (285138450).

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

120904200 is a wasteful number, since it uses less digits than its factorization.

120904200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67191 (or 67179 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 120904200 is about 10995.6445922920. The cubic root of 120904200 is about 494.4781767538.

It can be divided in two parts, 120904 and 200, that added together give a square (121104 = 348²).

The spelling of 120904200 in words is "one hundred twenty million, nine hundred four thousand, two hundred".