12708128649216 has 832 divisors, whose sum is σ = 46243426231296. Its totient is φ = 2996777779200.

The previous prime is 12708128649193. The next prime is 12708128649241. The reversal of 12708128649216 is 61294682180721.

12708128649216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×12708128649216² (a number of 27 digits) contains 22 as substring.

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, 750309100 + ... + 750326036.

Almost surely, 2^{12708128649216} is an apocalyptic number.

12708128649216 is a gapful number since it is divisible by the number (16) 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 12708128649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23121713115648).

12708128649216 is an abundant number, since it is smaller than the sum of its proper divisors (33535297582080).

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

12708128649216 is a wasteful number, since it uses less digits than its factorization.

12708128649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17056 (or 17034 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 12708128649216 in words is "twelve trillion, seven hundred eight billion, one hundred twenty-eight million, six hundred forty-nine thousand, two hundred sixteen".