12252584801321 has 2 divisors, whose sum is σ = 12252584801322. Its totient is φ = 12252584801320.

The previous prime is 12252584801243. The next prime is 12252584801323. The reversal of 12252584801321 is 12310848525221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11979829293721 + 272755507600 = 3461189^2 + 522260^2 .

It is an emirp because it is prime and its reverse (12310848525221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12252584801321 is a prime.

Together with 12252584801323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12252584801323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6126292400660 + 6126292400661.

It is an arithmetic number, because the mean of its divisors is an integer number (6126292400661).

Almost surely, 2^{12252584801321} is an apocalyptic number.

It is an amenable number.

12252584801321 is a deficient number, since it is larger than the sum of its proper divisors (1).

12252584801321 is an equidigital number, since it uses as much as digits as its factorization.

12252584801321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 307200, while the sum is 44.

The spelling of 12252584801321 in words is "twelve trillion, two hundred fifty-two billion, five hundred eighty-four million, eight hundred one thousand, three hundred twenty-one".