12680478721 has 12 divisors (see below), whose sum is σ = 13621645260. Its totient is φ = 11800448000.

The previous prime is 12680478691. The next prime is 12680478739. The reversal of 12680478721 is 12787408621.

It can be written as a sum of positive squares in 6 ways, for example, as 2552270400 + 10128208321 = 50520^2 + 100639^2 .

It is not a de Polignac number, because 12680478721 - 2⁵ = 12680478689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12680478751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220780 + ... + 272221.

It is an arithmetic number, because the mean of its divisors is an integer number (1135137105).

Almost surely, 2^12680478721 is an apocalyptic number.

It is an amenable number.

12680478721 is a deficient number, since it is larger than the sum of its proper divisors (941166539).

12680478721 is an equidigital number, since it uses as much as digits as its factorization.

12680478721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493124 (or 493107 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

It can be divided in two parts, 12680 and 478721, that added together give a square (491401 = 701²).

The spelling of 12680478721 in words is "twelve billion, six hundred eighty million, four hundred seventy-eight thousand, seven hundred twenty-one".