120033504 has 72 divisors (see below), whose sum is σ = 356206032. Its totient is φ = 38269440.

The previous prime is 120033503. The next prime is 120033517. The reversal of 120033504 is 405330021.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×120033504³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120033503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2437 + ... + 15684.

It is an arithmetic number, because the mean of its divisors is an integer number (4947306).

Almost surely, 2^120033504 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 120033504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178103016).

120033504 is an abundant number, since it is smaller than the sum of its proper divisors (236172528).

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

120033504 is a wasteful number, since it uses less digits than its factorization.

120033504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18160 (or 18149 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 120033504 is about 10955.9802847577. The cubic root of 120033504 is about 493.2883150220.

Adding to 120033504 its reverse (405330021), we get a palindrome (525363525).

The spelling of 120033504 in words is "one hundred twenty million, thirty-three thousand, five hundred four".