120384960 has 112 divisors (see below), whose sum is σ = 386791200. Its totient is φ = 31719424.

The previous prime is 120384959. The next prime is 120384983. The reversal of 120384960 is 69483021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84736 + ... + 86144.

Almost surely, 2^120384960 is an apocalyptic number.

120384960 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 120384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193395600).

120384960 is an abundant number, since it is smaller than the sum of its proper divisors (266406240).

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

120384960 is a wasteful number, since it uses less digits than its factorization.

120384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 120384960 is about 10972.0080204127. The cubic root of 120384960 is about 493.7692924150.

The spelling of 120384960 in words is "one hundred twenty million, three hundred eighty-four thousand, nine hundred sixty".