12321804217968 has 400 divisors, whose sum is σ = 43030218865920. Its totient is φ = 3325312714752.

The previous prime is 12321804217967. The next prime is 12321804217981. The reversal of 12321804217968 is 86971240812321.

12321804217968 is a `hidden beast` number, since 1 + 2 + 32 + 180 + 421 + 7 + 9 + 6 + 8 = 666.

12321804217968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×12321804217968⁴ (a number of 53 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321804217967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57981955 + ... + 58194077.

Almost surely, 2^{12321804217968} is an apocalyptic number.

12321804217968 is a gapful number since it is divisible by the number (18) 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 12321804217968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21515109432960).

12321804217968 is an abundant number, since it is smaller than the sum of its proper divisors (30708414647952).

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

12321804217968 is a wasteful number, since it uses less digits than its factorization.

12321804217968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212506 (or 212491 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12321804217968 in words is "twelve trillion, three hundred twenty-one billion, eight hundred four million, two hundred seventeen thousand, nine hundred sixty-eight".