331033221211120 has 160 divisors (see below), whose sum is σ = 778995801792000. Its totient is φ = 130812199879680.

The previous prime is 331033221211051. The next prime is 331033221211123. The reversal of 331033221211120 is 21112122330133.

It is a super-2 number, since 2×331033221211120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331033221211123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11130519450 + ... + 11130549190.

It is an arithmetic number, because the mean of its divisors is an integer number (4868723761200).

Almost surely, 2^{331033221211120} 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 331033221211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389497900896000).

331033221211120 is an abundant number, since it is smaller than the sum of its proper divisors (447962580580880).

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

331033221211120 is a wasteful number, since it uses less digits than its factorization.

331033221211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33063 (or 33057 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 331033221211120 its reverse (21112122330133), we get a palindrome (352145343541253).

The spelling of 331033221211120 in words is "three hundred thirty-one trillion, thirty-three billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".