12704029728 has 192 divisors, whose sum is σ = 36748494720. Its totient is φ = 3819036672.

The previous prime is 12704029721. The next prime is 12704029747. The reversal of 12704029728 is 82792040721.

It is a super-2 number, since 2×12704029728² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12704029728.

It is not an unprimeable number, because it can be changed into a prime (12704029721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11454838 + ... + 11455946.

It is an arithmetic number, because the mean of its divisors is an integer number (191398410).

Almost surely, 2^12704029728 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 12704029728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18374247360).

12704029728 is an abundant number, since it is smaller than the sum of its proper divisors (24044464992).

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

12704029728 is a wasteful number, since it uses less digits than its factorization.

12704029728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 12704029728 in words is "twelve billion, seven hundred four million, twenty-nine thousand, seven hundred twenty-eight".