120024234144 has 36 divisors (see below), whose sum is σ = 341318916666. Its totient is φ = 40008077952.

The previous prime is 120024234133. The next prime is 120024234179. The reversal of 120024234144 is 441432420021.

120024234144 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 242 + 3 + 414 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107833424400 + 12190809744 = 328380^2 + 110412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208375119 + ... + 208375694.

Almost surely, 2^120024234144 is an apocalyptic number.

It is an amenable number.

120024234144 is an abundant number, since it is smaller than the sum of its proper divisors (221294682522).

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

120024234144 is a wasteful number, since it uses less digits than its factorization.

120024234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416750829 (or 416750818 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 120024234144 its reverse (441432420021), we get a palindrome (561456654165).

The spelling of 120024234144 in words is "one hundred twenty billion, twenty-four million, two hundred thirty-four thousand, one hundred forty-four".