120297600 has 144 divisors (see below), whose sum is σ = 429352170. Its totient is φ = 32071680.

The previous prime is 120297589. The next prime is 120297677. The reversal of 120297600 is 6792021.

It can be written as a sum of positive squares in 3 ways, for example, as 111007296 + 9290304 = 10536^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 26712 + ... + 30888.

Almost surely, 2^120297600 is an apocalyptic number.

120297600 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 120297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214676085).

120297600 is an abundant number, since it is smaller than the sum of its proper divisors (309054570).

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

120297600 is a wasteful number, since it uses less digits than its factorization.

120297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 120297600 is about 10968.0262581743. The cubic root of 120297600 is about 493.6498253218.

The spelling of 120297600 in words is "one hundred twenty million, two hundred ninety-seven thousand, six hundred".