12881973736800 has 1296 divisors, whose sum is σ = 54965714469120. Its totient is φ = 2935469859840.

The previous prime is 12881973736783. The next prime is 12881973736817. The reversal of 12881973736800 is 863737918821.

12881973736800 is a `hidden beast` number, since 1 + 2 + 88 + 197 + 3 + 7 + 368 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12881973736783) and next prime (12881973736817).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3419688517 + ... + 3419692283.

It is an arithmetic number, because the mean of its divisors is an integer number (42411816720).

Almost surely, 2^{12881973736800} is an apocalyptic number.

12881973736800 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 12881973736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27482857234560).

12881973736800 is an abundant number, since it is smaller than the sum of its proper divisors (42083740732320).

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

12881973736800 is a wasteful number, since it uses less digits than its factorization.

12881973736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 12881973736800 in words is "twelve trillion, eight hundred eighty-one billion, nine hundred seventy-three million, seven hundred thirty-six thousand, eight hundred".