12722656128 has 256 divisors, whose sum is σ = 41731415040. Its totient is φ = 3344302080.

The previous prime is 12722656109. The next prime is 12722656171. The reversal of 12722656128 is 82165622721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 12722656128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20162373 + ... + 20163003.

It is an arithmetic number, because the mean of its divisors is an integer number (163013340).

Almost surely, 2^12722656128 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 12722656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865707520).

12722656128 is an abundant number, since it is smaller than the sum of its proper divisors (29008758912).

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

12722656128 is a wasteful number, since it uses less digits than its factorization.

12722656128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1233 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 12722656128 in words is "twelve billion, seven hundred twenty-two million, six hundred fifty-six thousand, one hundred twenty-eight".