12722579868672 has 264 divisors, whose sum is σ = 38545301165280. Its totient is φ = 4034051112960.

The previous prime is 12722579868643. The next prime is 12722579868697. The reversal of 12722579868672 is 27686897522721.

12722579868672 is a `hidden beast` number, since 1 + 27 + 22 + 579 + 8 + 6 + 8 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12722579868672.

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 23 ways as a sum of consecutive naturals, for example, 38200404 + ... + 38532012.

Almost surely, 2^{12722579868672} is an apocalyptic number.

12722579868672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12722579868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19272650582640).

12722579868672 is an abundant number, since it is smaller than the sum of its proper divisors (25822721296608).

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

12722579868672 is a wasteful number, since it uses less digits than its factorization.

12722579868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331839 (or 331818 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 12722579868672 in words is "twelve trillion, seven hundred twenty-two billion, five hundred seventy-nine million, eight hundred sixty-eight thousand, six hundred seventy-two".