120096032 has 48 divisors (see below), whose sum is σ = 271035072. Its totient is φ = 51313920.

The previous prime is 120096029. The next prime is 120096079. The reversal of 120096032 is 230690021.

It is a junction number, because it is equal to n+sod(n) for n = 120095989 and 120096007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102683 + ... + 103845.

It is an arithmetic number, because the mean of its divisors is an integer number (5646564).

Almost surely, 2^120096032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120096032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135517536).

120096032 is an abundant number, since it is smaller than the sum of its proper divisors (150939040).

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

120096032 is a wasteful number, since it uses less digits than its factorization.

120096032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 120096032 is about 10958.8335145671. The cubic root of 120096032 is about 493.3739549377.

The spelling of 120096032 in words is "one hundred twenty million, ninety-six thousand, thirty-two".