330031221112120 has 256 divisors, whose sum is σ = 833133065011200. Its totient is φ = 116604764559360.

The previous prime is 330031221112093. The next prime is 330031221112127. The reversal of 330031221112120 is 21211122130033.

It is a super-2 number, since 2×330031221112120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 330031221112091 and 330031221112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330031221112127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59972961289 + ... + 59972966791.

It is an arithmetic number, because the mean of its divisors is an integer number (3254426035200).

Almost surely, 2^{330031221112120} 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 330031221112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416566532505600).

330031221112120 is an abundant number, since it is smaller than the sum of its proper divisors (503101843899080).

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

330031221112120 is a wasteful number, since it uses less digits than its factorization.

330031221112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 10034 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 330031221112120 its reverse (21211122130033), we get a palindrome (351242343242153).

The spelling of 330031221112120 in words is "three hundred thirty trillion, thirty-one billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".