120295188 has 72 divisors (see below), whose sum is σ = 328799016. Its totient is φ = 36864000.

The previous prime is 120295181. The next prime is 120295193. The reversal of 120295188 is 881592021.

It can be written as a sum of positive squares in 4 ways, for example, as 58798224 + 61496964 = 7668^2 + 7842^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120295181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187348 + ... + 187988.

It is an arithmetic number, because the mean of its divisors is an integer number (4566653).

Almost surely, 2^120295188 is an apocalyptic number.

120295188 is a gapful number since it is divisible by the number (18) 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 120295188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164399508).

120295188 is an abundant number, since it is smaller than the sum of its proper divisors (208503828).

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

120295188 is a wasteful number, since it uses less digits than its factorization.

120295188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 120295188 is about 10967.9163016500. The cubic root of 120295188 is about 493.6465260281.

The spelling of 120295188 in words is "one hundred twenty million, two hundred ninety-five thousand, one hundred eighty-eight".