12131330112 has 336 divisors, whose sum is σ = 39684228480. Its totient is φ = 3509452800.

The previous prime is 12131330111. The next prime is 12131330117. The reversal of 12131330112 is 21103313121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12131330111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18925312 + ... + 18925952.

Almost surely, 2^12131330112 is an apocalyptic number.

12131330112 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 12131330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842114240).

12131330112 is an abundant number, since it is smaller than the sum of its proper divisors (27552898368).

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

12131330112 is a wasteful number, since it uses less digits than its factorization.

12131330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12131330112 its reverse (21103313121), we get a palindrome (33234643233).

It can be divided in two parts, 12131 and 330112, that added together give a palindrome (342243).

The spelling of 12131330112 in words is "twelve billion, one hundred thirty-one million, three hundred thirty thousand, one hundred twelve".