120507600 has 120 divisors (see below), whose sum is σ = 388582272. Its totient is φ = 31923200.

The previous prime is 120507599. The next prime is 120507613. The reversal of 120507600 is 6705021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279385 + ... + 279815.

Almost surely, 2^120507600 is an apocalyptic number.

120507600 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 120507600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194291136).

120507600 is an abundant number, since it is smaller than the sum of its proper divisors (268074672).

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

120507600 is a wasteful number, since it uses less digits than its factorization.

120507600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 120507600 is about 10977.5953651061. The cubic root of 120507600 is about 493.9369083538.

The spelling of 120507600 in words is "one hundred twenty million, five hundred seven thousand, six hundred".