120745600 has 96 divisors (see below), whose sum is σ = 302129100. Its totient is φ = 47677440.

The previous prime is 120745553. The next prime is 120745621. The reversal of 120745600 is 6547021.

It can be written as a sum of positive squares in 6 ways, for example, as 25644096 + 95101504 = 5064^2 + 9752^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310206 + ... + 310594.

Almost surely, 2^120745600 is an apocalyptic number.

120745600 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 120745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151064550).

120745600 is an abundant number, since it is smaller than the sum of its proper divisors (181383500).

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

120745600 is an equidigital number, since it uses as much as digits as its factorization.

120745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 120745600 is about 10988.4302791618. The cubic root of 120745600 is about 494.2618662212.

The spelling of 120745600 in words is "one hundred twenty million, seven hundred forty-five thousand, six hundred".