331220120 has 128 divisors (see below), whose sum is σ = 959385600. Its totient is φ = 99878400.

The previous prime is 331220111. The next prime is 331220137. The reversal of 331220120 is 21022133.

It is a happy number.

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 = 331220095 and 331220104.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 93746 + ... + 97214.

It is an arithmetic number, because the mean of its divisors is an integer number (7495200).

Almost surely, 2^331220120 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 331220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479692800).

331220120 is an abundant number, since it is smaller than the sum of its proper divisors (628165480).

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

331220120 is a wasteful number, since it uses less digits than its factorization.

331220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 331220120 is about 18199.4538379590. The cubic root of 331220120 is about 691.8929467862.

Adding to 331220120 its reverse (21022133), we get a palindrome (352242253).

It can be divided in two parts, 3312 and 20120, that added together give a palindrome (23432).

The spelling of 331220120 in words is "three hundred thirty-one million, two hundred twenty thousand, one hundred twenty".