120312144 has 60 divisors (see below), whose sum is σ = 338790816. Its totient is φ = 39855936.

The previous prime is 120312131. The next prime is 120312169. The reversal of 120312144 is 441213021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21547 + ... + 26549.

Almost surely, 2^120312144 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 120312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169395408).

120312144 is an abundant number, since it is smaller than the sum of its proper divisors (218478672).

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

120312144 is a wasteful number, since it uses less digits than its factorization.

120312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120312144 is about 10968.6892562421. The cubic root of 120312144 is about 493.6697186356.

Adding to 120312144 its reverse (441213021), we get a palindrome (561525165).

The spelling of 120312144 in words is "one hundred twenty million, three hundred twelve thousand, one hundred forty-four".