120033032 has 64 divisors (see below), whose sum is σ = 278160000. Its totient is φ = 47402496.

The previous prime is 120033029. The next prime is 120033041. The reversal of 120033032 is 230330021.

It is a super-2 number, since 2×120033032² = 28815857542226048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120032998 and 120033016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37844 + ... + 40892.

It is an arithmetic number, because the mean of its divisors is an integer number (4346250).

Almost surely, 2^120033032 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 120033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139080000).

120033032 is an abundant number, since it is smaller than the sum of its proper divisors (158126968).

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

120033032 is a wasteful number, since it uses less digits than its factorization.

120033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 120033032 is about 10955.9587439895. The cubic root of 120033032 is about 493.2876684459.

Adding to 120033032 its reverse (230330021), we get a palindrome (350363053).

The spelling of 120033032 in words is "one hundred twenty million, thirty-three thousand, thirty-two".