12666206304 has 96 divisors (see below), whose sum is σ = 37191420000. Its totient is φ = 4193690112.

The previous prime is 12666206299. The next prime is 12666206323. The reversal of 12666206304 is 40360266621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79542 + ... + 177930.

It is an arithmetic number, because the mean of its divisors is an integer number (387410625).

Almost surely, 2^12666206304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12666206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18595710000).

12666206304 is an abundant number, since it is smaller than the sum of its proper divisors (24525213696).

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

12666206304 is a wasteful number, since it uses less digits than its factorization.

12666206304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98557 (or 98543 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 12666206304 in words is "twelve billion, six hundred sixty-six million, two hundred six thousand, three hundred four".