330222120 has 64 divisors (see below), whose sum is σ = 1000321920. Its totient is φ = 87201024.

The previous prime is 330222107. The next prime is 330222157. The reversal of 330222120 is 21222033.

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 330222120.

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, 999 + ... + 25718.

It is an arithmetic number, because the mean of its divisors is an integer number (15630030).

Almost surely, 2^330222120 is an apocalyptic number.

330222120 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 330222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500160960).

330222120 is an abundant number, since it is smaller than the sum of its proper divisors (670099800).

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

330222120 is a wasteful number, since it uses less digits than its factorization.

330222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26834 (or 26830 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 330222120 is about 18172.0147479579. The cubic root of 330222120 is about 691.1973329962.

Adding to 330222120 its reverse (21222033), we get a palindrome (351444153).

The spelling of 330222120 in words is "three hundred thirty million, two hundred twenty-two thousand, one hundred twenty".