120959760 has 160 divisors (see below), whose sum is σ = 414616320. Its totient is φ = 29016064.

The previous prime is 120959711. The next prime is 120959779. The reversal of 120959760 is 67959021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93196 + ... + 94484.

It is an arithmetic number, because the mean of its divisors is an integer number (2591352).

Almost surely, 2^120959760 is an apocalyptic number.

120959760 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 120959760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207308160).

120959760 is an abundant number, since it is smaller than the sum of its proper divisors (293656560).

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

120959760 is a wasteful number, since it uses less digits than its factorization.

120959760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 120959760 is about 10998.1707569941. The cubic root of 120959760 is about 494.5539088907.

The spelling of 120959760 in words is "one hundred twenty million, nine hundred fifty-nine thousand, seven hundred sixty".