332333120 has 112 divisors (see below), whose sum is σ = 915131520. Its totient is φ = 112594944.

The previous prime is 332333101. The next prime is 332333137. The reversal of 332333120 is 21333233.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×332333120² = 220890605297868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 332333092 and 332333101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198527 + ... + 200193.

Almost surely, 2^332333120 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 332333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457565760).

332333120 is an abundant number, since it is smaller than the sum of its proper divisors (582798400).

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

332333120 is a wasteful number, since it uses less digits than its factorization.

332333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 332333120 is about 18230.0060340089. The cubic root of 332333120 is about 692.6670703434.

Adding to 332333120 its reverse (21333233), we get a palindrome (353666353).

The spelling of 332333120 in words is "three hundred thirty-two million, three hundred thirty-three thousand, one hundred twenty".