331122735118812 has 384 divisors, whose sum is σ = 977580806307840. Its totient is φ = 84905917977600.

The previous prime is 331122735118739. The next prime is 331122735118823. The reversal of 331122735118812 is 218811537221133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9159416937 + ... + 9159453087.

It is an arithmetic number, because the mean of its divisors is an integer number (2545783349760).

Almost surely, 2^{331122735118812} 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 331122735118812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488790403153920).

331122735118812 is an abundant number, since it is smaller than the sum of its proper divisors (646458071189028).

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

331122735118812 is a wasteful number, since it uses less digits than its factorization.

331122735118812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37401 (or 37399 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The spelling of 331122735118812 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, seven hundred thirty-five million, one hundred eighteen thousand, eight hundred twelve".