120333312 has 132 divisors (see below), whose sum is σ = 379366416. Its totient is φ = 36433920.

The previous prime is 120333281. The next prime is 120333329. The reversal of 120333312 is 213333021.

120333312 is a `hidden beast` number, since 1 + 20 + 333 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100783 + ... + 101969.

It is an arithmetic number, because the mean of its divisors is an integer number (2873988).

Almost surely, 2^120333312 is an apocalyptic number.

120333312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189683208).

120333312 is an abundant number, since it is smaller than the sum of its proper divisors (259033104).

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

120333312 is a wasteful number, since it uses less digits than its factorization.

120333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 120333312 is about 10969.6541422234. The cubic root of 120333312 is about 493.6986694061.

Adding to 120333312 its reverse (213333021), we get a palindrome (333666333).

The spelling of 120333312 in words is "one hundred twenty million, three hundred thirty-three thousand, three hundred twelve".