12479743198224 has 135 divisors (see below), whose sum is σ = 37103409137847. Its totient is φ = 3914987461632.

The previous prime is 12479743198217. The next prime is 12479743198249. The reversal of 12479743198224 is 42289134797421.

The square root of 12479743198224 is 3532668.

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

12479743198224 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 97 + 4 + 319 + 8 + 224 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4971704791824 + 7508038406400 = 2229732^2 + 2740080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 720655614 + ... + 720672930.

Almost surely, 2^{12479743198224} is an apocalyptic number.

12479743198224 is the 3532668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12479743198224

12479743198224 is an abundant number, since it is smaller than the sum of its proper divisors (24623665939623).

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

12479743198224 is an frugal number, since it uses more digits than its factorization.

12479743198224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34682 (or 17339 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 12479743198224 in words is "twelve trillion, four hundred seventy-nine billion, seven hundred forty-three million, one hundred ninety-eight thousand, two hundred twenty-four".