12321139806720 has 1920 divisors, whose sum is σ = 47517288698880. Its totient is φ = 3055019950080.

The previous prime is 12321139806709. The next prime is 12321139806727. The reversal of 12321139806720 is 2760893112321.

It is a happy number.

12321139806720 is a `hidden beast` number, since 1 + 23 + 211 + 398 + 0 + 6 + 7 + 20 = 666.

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

It is a super-2 number, since 2×12321139806720² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12321139806727) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58394027415 + ... + 58394027625.

It is an arithmetic number, because the mean of its divisors is an integer number (24748587864).

Almost surely, 2^{12321139806720} is an apocalyptic number.

12321139806720 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 12321139806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23758644349440).

12321139806720 is an abundant number, since it is smaller than the sum of its proper divisors (35196148892160).

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

12321139806720 is an equidigital number, since it uses as much as digits as its factorization.

12321139806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12321139806720 in words is "twelve trillion, three hundred twenty-one billion, one hundred thirty-nine million, eight hundred six thousand, seven hundred twenty".