120372144 has 80 divisors (see below), whose sum is σ = 331228800. Its totient is φ = 37559808.

The previous prime is 120372143. The next prime is 120372149. The reversal of 120372144 is 441273021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (120372143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80427 + ... + 81909.

It is an arithmetic number, because the mean of its divisors is an integer number (4140360).

Almost surely, 2^120372144 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 120372144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165614400).

120372144 is an abundant number, since it is smaller than the sum of its proper divisors (210856656).

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

120372144 is a wasteful number, since it uses less digits than its factorization.

120372144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 120372144 is about 10971.4239732133. The cubic root of 120372144 is about 493.7517698169.

The spelling of 120372144 in words is "one hundred twenty million, three hundred seventy-two thousand, one hundred forty-four".