120492960 has 288 divisors, whose sum is σ = 455051520. Its totient is φ = 26707968.

The previous prime is 120492959. The next prime is 120493013. The reversal of 120492960 is 69294021.

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 47 ways as a sum of consecutive naturals, for example, 1105386 + ... + 1105494.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 2^120492960 is an apocalyptic number.

120492960 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 120492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227525760).

120492960 is an abundant number, since it is smaller than the sum of its proper divisors (334558560).

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

120492960 is a wasteful number, since it uses less digits than its factorization.

120492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 120492960 is about 10976.9285321532. The cubic root of 120492960 is about 493.9169053853.

The spelling of 120492960 in words is "one hundred twenty million, four hundred ninety-two thousand, nine hundred sixty".