12131436768 has 288 divisors, whose sum is σ = 37108253952. Its totient is φ = 3469466880.

The previous prime is 12131436743. The next prime is 12131436769. The reversal of 12131436768 is 86763413121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131436769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46127005 + ... + 46127267.

It is an arithmetic number, because the mean of its divisors is an integer number (128848104).

Almost surely, 2^12131436768 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 12131436768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18554126976).

12131436768 is an abundant number, since it is smaller than the sum of its proper divisors (24976817184).

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

12131436768 is a wasteful number, since it uses less digits than its factorization.

12131436768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 298 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

Adding to 12131436768 its reverse (86763413121), we get a palindrome (98894849889).

The spelling of 12131436768 in words is "twelve billion, one hundred thirty-one million, four hundred thirty-six thousand, seven hundred sixty-eight".