120115584 has 96 divisors (see below), whose sum is σ = 348791040. Its totient is φ = 39674880.

The previous prime is 120115577. The next prime is 120115621. The reversal of 120115584 is 485511021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×120115584² = 28855507039322112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145894 + ... + 146714.

It is an arithmetic number, because the mean of its divisors is an integer number (3633240).

Almost surely, 2^120115584 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 120115584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174395520).

120115584 is an abundant number, since it is smaller than the sum of its proper divisors (228675456).

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

120115584 is a wasteful number, since it uses less digits than its factorization.

120115584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 120115584 is about 10959.7255440088. The cubic root of 120115584 is about 493.4007277460.

The spelling of 120115584 in words is "one hundred twenty million, one hundred fifteen thousand, five hundred eighty-four".