12220221122261 has 2 divisors, whose sum is σ = 12220221122262. Its totient is φ = 12220221122260.

The previous prime is 12220221122203. The next prime is 12220221122267. The reversal of 12220221122261 is 16222112202221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11720393332036 + 499827790225 = 3423506^2 + 706985^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220221122261 - 2²² = 12220216927957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12220221122261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220221122267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110110561130 + 6110110561131.

It is an arithmetic number, because the mean of its divisors is an integer number (6110110561131).

Almost surely, 2^{12220221122261} is an apocalyptic number.

It is an amenable number.

12220221122261 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220221122261 is an equidigital number, since it uses as much as digits as its factorization.

12220221122261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 12220221122261 its reverse (16222112202221), we get a palindrome (28442333324482).

The spelling of 12220221122261 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred sixty-one".