12223968768000 has 832 divisors, whose sum is σ = 49305343127040. Its totient is φ = 2963349504000.

The previous prime is 12223968767947. The next prime is 12223968768019. The reversal of 12223968768000 is 86786932221.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152023807 + ... + 152104193.

It is an arithmetic number, because the mean of its divisors is an integer number (59261229720).

Almost surely, 2^{12223968768000} is an apocalyptic number.

12223968768000 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 12223968768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24652671563520).

12223968768000 is an abundant number, since it is smaller than the sum of its proper divisors (37081374359040).

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

12223968768000 is an equidigital number, since it uses as much as digits as its factorization.

12223968768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80446 (or 80408 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12223968768000 in words is "twelve trillion, two hundred twenty-three billion, nine hundred sixty-eight million, seven hundred sixty-eight thousand".