120084144 has 40 divisors (see below), whose sum is σ = 312032112. Its totient is φ = 39793920.

The previous prime is 120084137. The next prime is 120084179. The reversal of 120084144 is 441480021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1074 + ... + 15534.

Almost surely, 2^120084144 is an apocalyptic number.

It is an amenable number.

120084144 is an abundant number, since it is smaller than the sum of its proper divisors (191947968).

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

120084144 is a wasteful number, since it uses less digits than its factorization.

120084144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14645 (or 14639 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 120084144 is about 10958.2911076500. The cubic root of 120084144 is about 493.3576751239.

The spelling of 120084144 in words is "one hundred twenty million, eighty-four thousand, one hundred forty-four".