120928320 has 168 divisors, whose sum is σ = 420014400. Its totient is φ = 31933440.

The previous prime is 120928309. The next prime is 120928337. The reversal of 120928320 is 23829021.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 573015 + ... + 573225.

Almost surely, 2^120928320 is an apocalyptic number.

120928320 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 120928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210007200).

120928320 is an abundant number, since it is smaller than the sum of its proper divisors (299086080).

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

120928320 is a wasteful number, since it uses less digits than its factorization.

120928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120928320 is about 10996.7413355048. The cubic root of 120928320 is about 494.5110568374.

The spelling of 120928320 in words is "one hundred twenty million, nine hundred twenty-eight thousand, three hundred twenty".