120728960 has 96 divisors (see below), whose sum is σ = 317444400. Its totient is φ = 43873280.

The previous prime is 120728957. The next prime is 120728977. The reversal of 120728960 is 69827021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 120728960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76661 + ... + 78219.

Almost surely, 2^120728960 is an apocalyptic number.

120728960 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 120728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158722200).

120728960 is an abundant number, since it is smaller than the sum of its proper divisors (196715440).

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

120728960 is a wasteful number, since it uses less digits than its factorization.

120728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 120728960 is about 10987.6730930621. The cubic root of 120728960 is about 494.2391603689.

The spelling of 120728960 in words is "one hundred twenty million, seven hundred twenty-eight thousand, nine hundred sixty".