12607044409600 has 81 divisors (see below), whose sum is σ = 31205107851393. Its totient is φ = 5042704143360.

The previous prime is 12607044409469. The next prime is 12607044409621. The reversal of 12607044409600 is 690444070621.

The square root of 12607044409600 is 3550640.

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

12607044409600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4538535987456 + 8068508422144 = 2130384^2 + 2840512^2 .

It is a super-2 number, since 2×12607044409600² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 284029009 + ... + 284073391.

Almost surely, 2^{12607044409600} is an apocalyptic number.

12607044409600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12607044409600 is the 3550640-th square number.

It is an amenable number.

12607044409600 is an abundant number, since it is smaller than the sum of its proper divisors (18598063441793).

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

12607044409600 is an frugal number, since it uses more digits than its factorization.

12607044409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88792 (or 44390 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 12607044409600 in words is "twelve trillion, six hundred seven billion, forty-four million, four hundred nine thousand, six hundred".