120972288 has 88 divisors (see below), whose sum is σ = 328961088. Its totient is φ = 39510016.

The previous prime is 120972283. The next prime is 120972301. The reversal of 120972288 is 882279021.

It is not an unprimeable number, because it can be changed into a prime (120972283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162445 + ... + 163187.

Almost surely, 2^120972288 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 120972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164480544).

120972288 is an abundant number, since it is smaller than the sum of its proper divisors (207988800).

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

120972288 is an equidigital number, since it uses as much as digits as its factorization.

120972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 120972288 is about 10998.7402915061. The cubic root of 120972288 is about 494.5709822201.

The spelling of 120972288 in words is "one hundred twenty million, nine hundred seventy-two thousand, two hundred eighty-eight".