120188964 has 72 divisors (see below), whose sum is σ = 333244800. Its totient is φ = 33601344.

The previous prime is 120188921. The next prime is 120188977. The reversal of 120188964 is 469881021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25462 + ... + 29810.

It is an arithmetic number, because the mean of its divisors is an integer number (4628400).

Almost surely, 2^120188964 is an apocalyptic number.

120188964 is a gapful number since it is divisible by the number (14) 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 120188964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166622400).

120188964 is an abundant number, since it is smaller than the sum of its proper divisors (213055836).

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

120188964 is a wasteful number, since it uses less digits than its factorization.

120188964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4417 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 120188964 is about 10963.0727444453. The cubic root of 120188964 is about 493.5011820303.

The spelling of 120188964 in words is "one hundred twenty million, one hundred eighty-eight thousand, nine hundred sixty-four".