12131146866672 has 240 divisors, whose sum is σ = 34966251579168. Its totient is φ = 3924865843200.

The previous prime is 12131146866661. The next prime is 12131146866679. The reversal of 12131146866672 is 27666864113121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131146866679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224204422 + ... + 224258522.

Almost surely, 2^{12131146866672} is an apocalyptic number.

12131146866672 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 12131146866672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17483125789584).

12131146866672 is an abundant number, since it is smaller than the sum of its proper divisors (22835104712496).

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

12131146866672 is a wasteful number, since it uses less digits than its factorization.

12131146866672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54528 (or 54519 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 12131146866672 in words is "twelve trillion, one hundred thirty-one billion, one hundred forty-six million, eight hundred sixty-six thousand, six hundred seventy-two".