12131544040 has 128 divisors (see below), whose sum is σ = 34071736320. Its totient is φ = 3776774400.

The previous prime is 12131543989. The next prime is 12131544041. The reversal of 12131544040 is 4044513121.

12131544040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12131543996 and 12131544014.

It is not an unprimeable number, because it can be changed into a prime (12131544041) 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 31 ways as a sum of consecutive naturals, for example, 3395455 + ... + 3399025.

It is an arithmetic number, because the mean of its divisors is an integer number (266185440).

Almost surely, 2^12131544040 is an apocalyptic number.

12131544040 is a gapful number since it is divisible by the number (10) 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 12131544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17035868160).

12131544040 is an abundant number, since it is smaller than the sum of its proper divisors (21940192280).

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

12131544040 is a wasteful number, since it uses less digits than its factorization.

12131544040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 12131544040 in words is "twelve billion, one hundred thirty-one million, five hundred forty-four thousand, forty".