120520188 has 72 divisors (see below), whose sum is σ = 318689280. Its totient is φ = 38357280.

The previous prime is 120520121. The next prime is 120520189. The reversal of 120520188 is 881025021.

120520188 is a `hidden beast` number, since 120 + 520 + 18 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120520189) 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, 87481 + ... + 88847.

It is an arithmetic number, because the mean of its divisors is an integer number (4426240).

Almost surely, 2^120520188 is an apocalyptic number.

120520188 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 120520188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159344640).

120520188 is an abundant number, since it is smaller than the sum of its proper divisors (198169092).

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

120520188 is a wasteful number, since it uses less digits than its factorization.

120520188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 120520188 is about 10978.1686997422. The cubic root of 120520188 is about 493.9541063322.

The spelling of 120520188 in words is "one hundred twenty million, five hundred twenty thousand, one hundred eighty-eight".