12127896648000 has 672 divisors, whose sum is σ = 49618142795520. Its totient is φ = 2770022707200.

The previous prime is 12127896647983. The next prime is 12127896648013. The reversal of 12127896648000 is 84669872121.

It is a happy number.

12127896648000 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 78 + 96 + 6 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 735327754 + ... + 735344246.

Almost surely, 2^{12127896648000} is an apocalyptic number.

12127896648000 is a gapful number since it is divisible by the number (10) 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 12127896648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24809071397760).

12127896648000 is an abundant number, since it is smaller than the sum of its proper divisors (37490246147520).

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

12127896648000 is a wasteful number, since it uses less digits than its factorization.

12127896648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17992 (or 17969 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12127896648000 in words is "twelve trillion, one hundred twenty-seven billion, eight hundred ninety-six million, six hundred forty-eight thousand".