120088188 has 72 divisors (see below), whose sum is σ = 342604080. Its totient is φ = 35132160.

The previous prime is 120088183. The next prime is 120088219. The reversal of 120088188 is 881880021.

It is a happy number.

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 (120088181) 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, 6256 + ... + 16712.

It is an arithmetic number, because the mean of its divisors is an integer number (4758390).

Almost surely, 2^120088188 is an apocalyptic number.

120088188 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 120088188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171302040).

120088188 is an abundant number, since it is smaller than the sum of its proper divisors (222515892).

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

120088188 is a wasteful number, since it uses less digits than its factorization.

120088188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10507 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 120088188 is about 10958.4756239178. The cubic root of 120088188 is about 493.3632132296.

The spelling of 120088188 in words is "one hundred twenty million, eighty-eight thousand, one hundred eighty-eight".