12824798968800 has 1728 divisors, whose sum is σ = 60111736977600. Its totient is φ = 2612503756800.

The previous prime is 12824798968799. The next prime is 12824798968801. The reversal of 12824798968800 is 886989742821.

12824798968800 is a `hidden beast` number, since 12 + 8 + 2 + 479 + 8 + 9 + 68 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12824798968799) and next prime (12824798968801).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12824798968801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 399000730 + ... + 399032870.

It is an arithmetic number, because the mean of its divisors is an integer number (34786884825).

Almost surely, 2^{12824798968800} is an apocalyptic number.

12824798968800 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 12824798968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30055868488800).

12824798968800 is an abundant number, since it is smaller than the sum of its proper divisors (47286938008800).

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

12824798968800 is a wasteful number, since it uses less digits than its factorization.

12824798968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32226 (or 32200 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 12824798968800 in words is "twelve trillion, eight hundred twenty-four billion, seven hundred ninety-eight million, nine hundred sixty-eight thousand, eight hundred".