12681228672 has 512 divisors, whose sum is σ = 46061568000. Its totient is φ = 3353757696.

The previous prime is 12681228647. The next prime is 12681228689. The reversal of 12681228672 is 27682218621.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21603163 + ... + 21603749.

It is an arithmetic number, because the mean of its divisors is an integer number (89964000).

Almost surely, 2^12681228672 is an apocalyptic number.

12681228672 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 12681228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23030784000).

12681228672 is an abundant number, since it is smaller than the sum of its proper divisors (33380339328).

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

12681228672 is a wasteful number, since it uses less digits than its factorization.

12681228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 12681228672 in words is "twelve billion, six hundred eighty-one million, two hundred twenty-eight thousand, six hundred seventy-two".