12686134297600 has 297 divisors, whose sum is σ = 31888867324717. Its totient is φ = 5004016353280.

The previous prime is 12686134297579. The next prime is 12686134297631. The reversal of 12686134297600 is 679243168621.

The square root of 12686134297600 is 3561760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 8234236855296 + 4451897442304 = 2869536^2 + 2109952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64396620702 + ... + 64396620898.

Almost surely, 2^{12686134297600} is an apocalyptic number.

12686134297600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12686134297600 is the 3561760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12686134297600

12686134297600 is an abundant number, since it is smaller than the sum of its proper divisors (19202733027117).

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

12686134297600 is an frugal number, since it uses more digits than its factorization.

12686134297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 12686134297600 in words is "twelve trillion, six hundred eighty-six billion, one hundred thirty-four million, two hundred ninety-seven thousand, six hundred".