12220002012193 has 2 divisors, whose sum is σ = 12220002012194. Its totient is φ = 12220002012192.

The previous prime is 12220002012191. The next prime is 12220002012203. The reversal of 12220002012193 is 39121020002221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7405979860449 + 4814022151744 = 2721393^2 + 2194088^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220002012193 - 2¹ = 12220002012191 is a prime.

Together with 12220002012191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12220002012191) by changing a digit.

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 as a sum of consecutive naturals, namely, 6110001006096 + 6110001006097.

It is an arithmetic number, because the mean of its divisors is an integer number (6110001006097).

Almost surely, 2^{12220002012193} is an apocalyptic number.

It is an amenable number.

12220002012193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220002012193 is an equidigital number, since it uses as much as digits as its factorization.

12220002012193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 12220002012193 in words is "twelve trillion, two hundred twenty billion, two million, twelve thousand, one hundred ninety-three".