12681043034400 has 1296 divisors, whose sum is σ = 51550374002400. Its totient is φ = 2923497308160.

The previous prime is 12681043034369. The next prime is 12681043034437. The reversal of 12681043034400 is 443034018621.

12681043034400 is a `hidden beast` number, since 1 + 268 + 10 + 43 + 0 + 344 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2057605719 + ... + 2057611881.

It is an arithmetic number, because the mean of its divisors is an integer number (39776523150).

Almost surely, 2^{12681043034400} is an apocalyptic number.

12681043034400 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 12681043034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25775187001200).

12681043034400 is an abundant number, since it is smaller than the sum of its proper divisors (38869330968000).

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

12681043034400 is a wasteful number, since it uses less digits than its factorization.

12681043034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12681043034400 in words is "twelve trillion, six hundred eighty-one billion, forty-three million, thirty-four thousand, four hundred".