12807458720001 has 135 divisors (see below), whose sum is σ = 21635402630457. Its totient is φ = 7544579708160.

The previous prime is 12807458719943. The next prime is 12807458720009. The reversal of 12807458720001 is 10002785470821.

The square root of 12807458720001 is 3578751.

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

12807458720001 is a `hidden beast` number, since 128 + 0 + 7 + 458 + 72 + 0 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8879213999601 + 3928244720400 = 2979801^2 + 1981980^2 .

It is not a de Polignac number, because 12807458720001 - 2²⁹ = 12806921849089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12807458720009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13108964425 + ... + 13108965401.

Almost surely, 2^{12807458720001} is an apocalyptic number.

12807458720001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12807458720001 is the 3578751-st square number.

12807458720001 is the 1789376-th centered octagonal number.

It is an amenable number.

12807458720001 is a deficient number, since it is larger than the sum of its proper divisors (8827943910456).

12807458720001 is an frugal number, since it uses more digits than its factorization.

12807458720001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 12807458720001 in words is "twelve trillion, eight hundred seven billion, four hundred fifty-eight million, seven hundred twenty thousand, one".