12806700031104 has 256 divisors, whose sum is σ = 40329863884800. Its totient is φ = 3524621967360.

The previous prime is 12806700031093. The next prime is 12806700031157. The reversal of 12806700031104 is 40113000760821.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7970959 + ... + 9441905.

It is an arithmetic number, because the mean of its divisors is an integer number (157538530800).

Almost surely, 2^{12806700031104} is an apocalyptic number.

12806700031104 is a gapful number since it is divisible by the number (14) 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 12806700031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20164931942400).

12806700031104 is an abundant number, since it is smaller than the sum of its proper divisors (27523163853696).

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

12806700031104 is a wasteful number, since it uses less digits than its factorization.

12806700031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471091 (or 1471079 counting only the distinct ones).

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

Adding to 12806700031104 its reverse (40113000760821), we get a palindrome (52919700791925).

The spelling of 12806700031104 in words is "twelve trillion, eight hundred six billion, seven hundred million, thirty-one thousand, one hundred four".