330231120 has 160 divisors (see below), whose sum is σ = 1121713920. Its totient is φ = 79994880.

The previous prime is 330231113. The next prime is 330231157. The reversal of 330231120 is 21132033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 330231120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116925 + ... + 119715.

It is an arithmetic number, because the mean of its divisors is an integer number (7010712).

Almost surely, 2^330231120 is an apocalyptic number.

330231120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560856960).

330231120 is an abundant number, since it is smaller than the sum of its proper divisors (791482800).

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

330231120 is a wasteful number, since it uses less digits than its factorization.

330231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2847 counting only the distinct ones).

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

The square root of 330231120 is about 18172.2623797919. The cubic root of 330231120 is about 691.2036123247.

Adding to 330231120 its reverse (21132033), we get a palindrome (351363153).

It can be divided in two parts, 33023 and 1120, that added together give a palindrome (34143).

The spelling of 330231120 in words is "three hundred thirty million, two hundred thirty-one thousand, one hundred twenty".