120480960 has 112 divisors (see below), whose sum is σ = 391984992. Its totient is φ = 31334400.

The previous prime is 120480947. The next prime is 120480979. The reversal of 120480960 is 69084021.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 37830 + ... + 40890.

It is an arithmetic number, because the mean of its divisors is an integer number (3499866).

Almost surely, 2^120480960 is an apocalyptic number.

120480960 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 120480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195992496).

120480960 is an abundant number, since it is smaller than the sum of its proper divisors (271504032).

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

120480960 is a wasteful number, since it uses less digits than its factorization.

120480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 120480960 is about 10976.3819175537. The cubic root of 120480960 is about 493.9005083010.

The spelling of 120480960 in words is "one hundred twenty million, four hundred eighty thousand, nine hundred sixty".