12868442800800 has 288 divisors, whose sum is σ = 44096797624320. Its totient is φ = 3250573286400.

The previous prime is 12868442800799. The next prime is 12868442800813. The reversal of 12868442800800 is 800824486821.

It is a super-2 number, since 2×12868442800800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581981745 + ... + 582003855.

It is an arithmetic number, because the mean of its divisors is an integer number (153113880640).

Almost surely, 2^{12868442800800} is an apocalyptic number.

12868442800800 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 12868442800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22048398812160).

12868442800800 is an abundant number, since it is smaller than the sum of its proper divisors (31228354823520).

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

12868442800800 is a wasteful number, since it uses less digits than its factorization.

12868442800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34916 (or 34903 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 51.

The spelling of 12868442800800 in words is "twelve trillion, eight hundred sixty-eight billion, four hundred forty-two million, eight hundred thousand, eight hundred".