120033936 has 135 divisors (see below), whose sum is σ = 373745827. Its totient is φ = 35935680.

The previous prime is 120033919. The next prime is 120033959. The reversal of 120033936 is 639330021.

The square root of 120033936 is 10956.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1446151 + ... + 1446233.

Almost surely, 2^120033936 is an apocalyptic number.

120033936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120033936 is the 10956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120033936

120033936 is an abundant number, since it is smaller than the sum of its proper divisors (253711891).

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

120033936 is a wasteful number, since it uses less digits than its factorization.

120033936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The cubic root of 120033936 is about 493.2889068020.

Multiplying 120033936 by its product of nonzero digits (2916), we get a square (350018957376 = 591624²).

Adding to 120033936 its reverse (639330021), we get a palindrome (759363957).

The spelling of 120033936 in words is "one hundred twenty million, thirty-three thousand, nine hundred thirty-six".