12220267300289 has 2 divisors, whose sum is σ = 12220267300290. Its totient is φ = 12220267300288.

The previous prime is 12220267300243. The next prime is 12220267300291. The reversal of 12220267300289 is 98200376202221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11662108890289 + 558158410000 = 3414983^2 + 747100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12220267300289 is a prime.

It is a Sophie Germain prime.

Together with 12220267300291, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12220267300589) 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, 6110133650144 + 6110133650145.

It is an arithmetic number, because the mean of its divisors is an integer number (6110133650145).

Almost surely, 2^{12220267300289} is an apocalyptic number.

It is an amenable number.

12220267300289 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220267300289 is an equidigital number, since it uses as much as digits as its factorization.

12220267300289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 12220267300289 in words is "twelve trillion, two hundred twenty billion, two hundred sixty-seven million, three hundred thousand, two hundred eighty-nine".