12131268072 has 64 divisors (see below), whose sum is σ = 37811750400. Its totient is φ = 3150978240.

The previous prime is 12131268049. The next prime is 12131268073. The reversal of 12131268072 is 27086213121.

12131268072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12131268073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3280422 + ... + 3284117.

It is an arithmetic number, because the mean of its divisors is an integer number (590808600).

Almost surely, 2^12131268072 is an apocalyptic number.

12131268072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12131268072 is an abundant number, since it is smaller than the sum of its proper divisors (25680482328).

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

12131268072 is a wasteful number, since it uses less digits than its factorization.

12131268072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564566 (or 6564562 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 12131268072 in words is "twelve billion, one hundred thirty-one million, two hundred sixty-eight thousand, seventy-two".