120133312 has 84 divisors (see below), whose sum is σ = 267736320. Its totient is φ = 53394432.

The previous prime is 120133297. The next prime is 120133331. The reversal of 120133312 is 213331021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 313473 + ... + 313855.

Almost surely, 2^120133312 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 120133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133868160).

120133312 is an abundant number, since it is smaller than the sum of its proper divisors (147603008).

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

120133312 is a wasteful number, since it uses less digits than its factorization.

120133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 120133312 is about 10960.5342935461. The cubic root of 120133312 is about 493.4250004160.

Adding to 120133312 its reverse (213331021), we get a palindrome (333464333).

The spelling of 120133312 in words is "one hundred twenty million, one hundred thirty-three thousand, three hundred twelve".