12127947298656 has 576 divisors, whose sum is σ = 39230570695680. Its totient is φ = 3266225786880.

The previous prime is 12127947298639. The next prime is 12127947298681. The reversal of 12127947298656 is 65689274972121.

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, 997604130 + ... + 997616286.

It is an arithmetic number, because the mean of its divisors is an integer number (68108629680).

Almost surely, 2^{12127947298656} is an apocalyptic number.

12127947298656 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 12127947298656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19615285347840).

12127947298656 is an abundant number, since it is smaller than the sum of its proper divisors (27102623397024).

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

12127947298656 is a wasteful number, since it uses less digits than its factorization.

12127947298656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12387 (or 12372 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 69.

The spelling of 12127947298656 in words is "twelve trillion, one hundred twenty-seven billion, nine hundred forty-seven million, two hundred ninety-eight thousand, six hundred fifty-six".