331122113231112 has 384 divisors, whose sum is σ = 1134623874908160. Its totient is φ = 85000532981760.

The previous prime is 331122113231099. The next prime is 331122113231153. The reversal of 331122113231112 is 211132311221133.

331122113231112 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 221 + 1 + 323 + 1 + 112 = 666.

It is a super-2 number, since 2×331122113231112² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97452937 + ... + 100793447.

It is an arithmetic number, because the mean of its divisors is an integer number (2954749674240).

Almost surely, 2^{331122113231112} 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 331122113231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567311937454080).

331122113231112 is an abundant number, since it is smaller than the sum of its proper divisors (803501761677048).

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

331122113231112 is a wasteful number, since it uses less digits than its factorization.

331122113231112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341073 (or 3341066 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 331122113231112 its reverse (211132311221133), we get a palindrome (542254424452245).

The spelling of 331122113231112 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, one hundred thirteen million, two hundred thirty-one thousand, one hundred twelve".