12704656512 has 128 divisors (see below), whose sum is σ = 35794362240. Its totient is φ = 3978805248.

The previous prime is 12704656507. The next prime is 12704656519. The reversal of 12704656512 is 21565640721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12704656512² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12704656519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4744518 + ... + 4747194.

It is an arithmetic number, because the mean of its divisors is an integer number (279643455).

Almost surely, 2^12704656512 is an apocalyptic number.

12704656512 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 12704656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17897181120).

12704656512 is an abundant number, since it is smaller than the sum of its proper divisors (23089705728).

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

12704656512 is a wasteful number, since it uses less digits than its factorization.

12704656512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 12704656512 in words is "twelve billion, seven hundred four million, six hundred fifty-six thousand, five hundred twelve".