120588288 has 96 divisors (see below), whose sum is σ = 338738400. Its totient is φ = 38043648.

The previous prime is 120588253. The next prime is 120588311. The reversal of 120588288 is 882885021.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 116220 + ... + 117252.

It is an arithmetic number, because the mean of its divisors is an integer number (3528525).

Almost surely, 2^120588288 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 120588288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169369200).

120588288 is an abundant number, since it is smaller than the sum of its proper divisors (218150112).

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

120588288 is a wasteful number, since it uses less digits than its factorization.

120588288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 120588288 is about 10981.2698719228. The cubic root of 120588288 is about 494.0471251628.

The spelling of 120588288 in words is "one hundred twenty million, five hundred eighty-eight thousand, two hundred eighty-eight".