12686723712 has 256 divisors, whose sum is σ = 41629056000. Its totient is φ = 3777269760.

The previous prime is 12686723657. The next prime is 12686723737. The reversal of 12686723712 is 21732768621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1388214 + ... + 1397322.

It is an arithmetic number, because the mean of its divisors is an integer number (162613500).

Almost surely, 2^12686723712 is an apocalyptic number.

12686723712 is a gapful number since it is divisible by the number (12) 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 12686723712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20814528000).

12686723712 is an abundant number, since it is smaller than the sum of its proper divisors (28942332288).

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

12686723712 is a wasteful number, since it uses less digits than its factorization.

12686723712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176 (or 9158 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

It can be divided in two parts, 1268672 and 3712, that added together give a square (1272384 = 1128²).

The spelling of 12686723712 in words is "twelve billion, six hundred eighty-six million, seven hundred twenty-three thousand, seven hundred twelve".