12968368128 has 144 divisors (see below), whose sum is σ = 39659223240. Its totient is φ = 4068409344.

The previous prime is 12968368099. The next prime is 12968368157. The reversal of 12968368128 is 82186386921.

It is an interprime number because it is at equal distance from previous prime (12968368099) and next prime (12968368157).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292651 + ... + 334037.

Almost surely, 2^12968368128 is an apocalyptic number.

12968368128 is a gapful number since it is divisible by the number (18) 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 12968368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19829611620).

12968368128 is an abundant number, since it is smaller than the sum of its proper divisors (26690855112).

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

12968368128 is a wasteful number, since it uses less digits than its factorization.

12968368128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41432 (or 41409 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 12968368128 in words is "twelve billion, nine hundred sixty-eight million, three hundred sixty-eight thousand, one hundred twenty-eight".