12536378647200 has 432 divisors, whose sum is σ = 45781308308736. Its totient is φ = 3224638771200.

The previous prime is 12536378647189. The next prime is 12536378647271. The reversal of 12536378647200 is 274687363521.

It is a happy number.

12536378647200 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 6 + 378 + 64 + 7 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68430924 + ... + 68613876.

Almost surely, 2^{12536378647200} is an apocalyptic number.

12536378647200 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 12536378647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22890654154368).

12536378647200 is an abundant number, since it is smaller than the sum of its proper divisors (33244929661536).

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

12536378647200 is a wasteful number, since it uses less digits than its factorization.

12536378647200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183317 (or 183301 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 12536378647200 in words is "twelve trillion, five hundred thirty-six billion, three hundred seventy-eight million, six hundred forty-seven thousand, two hundred".