12722279324544 has 384 divisors, whose sum is σ = 40499709307200. Its totient is φ = 3812940054528.

The previous prime is 12722279324449. The next prime is 12722279324549. The reversal of 12722279324544 is 44542397222721.

12722279324544 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 2 + 2 + 7 + 93 + 2 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12722279324549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364382032 + ... + 364416944.

Almost surely, 2^{12722279324544} 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 12722279324544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20249854653600).

12722279324544 is an abundant number, since it is smaller than the sum of its proper divisors (27777429982656).

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

12722279324544 is a wasteful number, since it uses less digits than its factorization.

12722279324544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35782 (or 35767 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 12722279324544 in words is "twelve trillion, seven hundred twenty-two billion, two hundred seventy-nine million, three hundred twenty-four thousand, five hundred forty-four".