12368865722880 has 1920 divisors, whose sum is σ = 46453766768640. Its totient is φ = 2793500835840.

The previous prime is 12368865722869. The next prime is 12368865723013. The reversal of 12368865722880 is 8822756886321.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113475832266 + ... + 113475832374.

It is an arithmetic number, because the mean of its divisors is an integer number (24194670192).

Almost surely, 2^{12368865722880} is an apocalyptic number.

12368865722880 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 12368865722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23226883384320).

12368865722880 is an abundant number, since it is smaller than the sum of its proper divisors (34084901045760).

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

12368865722880 is a wasteful number, since it uses less digits than its factorization.

12368865722880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 66.

The spelling of 12368865722880 in words is "twelve trillion, three hundred sixty-eight billion, eight hundred sixty-five million, seven hundred twenty-two thousand, eight hundred eighty".