12211121204617 has 2 divisors, whose sum is σ = 12211121204618. Its totient is φ = 12211121204616.

The previous prime is 12211121204609. The next prime is 12211121204683. The reversal of 12211121204617 is 71640212111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8035886935696 + 4175234268921 = 2834764^2 + 2043339^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211121204617 - 2³ = 12211121204609 is a prime.

It is a super-2 number, since 2×12211121204617² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211121204917) 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, 6105560602308 + 6105560602309.

It is an arithmetic number, because the mean of its divisors is an integer number (6105560602309).

Almost surely, 2^{12211121204617} is an apocalyptic number.

It is an amenable number.

12211121204617 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211121204617 is an equidigital number, since it uses as much as digits as its factorization.

12211121204617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 31.

Adding to 12211121204617 its reverse (71640212111221), we get a palindrome (83851333315838).

The spelling of 12211121204617 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, two hundred four thousand, six hundred seventeen".