12311321333112 has 192 divisors, whose sum is σ = 35608899456000. Its totient is φ = 3829121372160.

The previous prime is 12311321333083. The next prime is 12311321333123. The reversal of 12311321333112 is 21133312311321.

12311321333112 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 1 + 321 + 3 + 331 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214645014 + ... + 214702362.

It is an arithmetic number, because the mean of its divisors is an integer number (185463018000).

Almost surely, 2^{12311321333112} is an apocalyptic number.

12311321333112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311321333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17804449728000).

12311321333112 is an abundant number, since it is smaller than the sum of its proper divisors (23297578122888).

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

12311321333112 is a wasteful number, since it uses less digits than its factorization.

12311321333112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58886 (or 58879 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 12311321333112 its reverse (21133312311321), we get a palindrome (33444633644433).

The spelling of 12311321333112 in words is "twelve trillion, three hundred eleven billion, three hundred twenty-one million, three hundred thirty-three thousand, one hundred twelve".