120033312 has 48 divisors (see below), whose sum is σ = 360101952. Its totient is φ = 34295040.

The previous prime is 120033269. The next prime is 120033313. The reversal of 120033312 is 213330021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 120033291 and 120033300.

It is not an unprimeable number, because it can be changed into a prime (120033313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88639 + ... + 89982.

It is an arithmetic number, because the mean of its divisors is an integer number (7502124).

Almost surely, 2^120033312 is an apocalyptic number.

120033312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120033312 is an abundant number, since it is smaller than the sum of its proper divisors (240068640).

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

120033312 is a wasteful number, since it uses less digits than its factorization.

120033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178641 (or 178633 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 120033312 is about 10955.9715224164. The cubic root of 120033312 is about 493.2880520082.

Adding to 120033312 its reverse (213330021), we get a palindrome (333363333).

The spelling of 120033312 in words is "one hundred twenty million, thirty-three thousand, three hundred twelve".