12220010220017 has 2 divisors, whose sum is σ = 12220010220018. Its totient is φ = 12220010220016.

The previous prime is 12220010219983. The next prime is 12220010220029. The reversal of 12220010220017 is 71002201002221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11884594339216 + 335415880801 = 3447404^2 + 579151^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220010220017 - 2³⁰ = 12218936478193 is a prime.

It is not a weakly prime, because it can be changed into another prime (12220010220097) 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, 6110005110008 + 6110005110009.

It is an arithmetic number, because the mean of its divisors is an integer number (6110005110009).

Almost surely, 2^{12220010220017} is an apocalyptic number.

It is an amenable number.

12220010220017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220010220017 is an equidigital number, since it uses as much as digits as its factorization.

12220010220017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 12220010220017 its reverse (71002201002221), we get a palindrome (83222211222238).

The spelling of 12220010220017 in words is "twelve trillion, two hundred twenty billion, ten million, two hundred twenty thousand, seventeen".