12315173104040 has 64 divisors (see below), whose sum is σ = 28252140336000. Its totient is φ = 4829668676352.

The previous prime is 12315173103991. The next prime is 12315173104043. The reversal of 12315173104040 is 4040137151321.

It is a junction number, because it is equal to n+sod(n) for n = 12315173103988 and 12315173104006.

It is not an unprimeable number, because it can be changed into a prime (12315173104043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889739 + ... + 5042021.

It is an arithmetic number, because the mean of its divisors is an integer number (441439692750).

Almost surely, 2^{12315173104040} is an apocalyptic number.

12315173104040 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 12315173104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126070168000).

12315173104040 is an abundant number, since it is smaller than the sum of its proper divisors (15936967231960).

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

12315173104040 is a wasteful number, since it uses less digits than its factorization.

12315173104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153746 (or 4153742 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 12315173104040 in words is "twelve trillion, three hundred fifteen billion, one hundred seventy-three million, one hundred four thousand, forty".