12211112221193 has 2 divisors, whose sum is σ = 12211112221194. Its totient is φ = 12211112221192.

The previous prime is 12211112221159. The next prime is 12211112221207. The reversal of 12211112221193 is 39112221111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10303766162704 + 1907346058489 = 3209948^2 + 1381067^2 .

It is an emirp because it is prime and its reverse (39112221111221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12211112221193 - 2³⁴ = 12193932352009 is a prime.

It is a super-2 number, since 2×12211112221193² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211112221153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105556110596 + 6105556110597.

It is an arithmetic number, because the mean of its divisors is an integer number (6105556110597).

Almost surely, 2^{12211112221193} is an apocalyptic number.

It is an amenable number.

12211112221193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211112221193 is an equidigital number, since it uses as much as digits as its factorization.

12211112221193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 29.

The spelling of 12211112221193 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, two hundred twenty-one thousand, one hundred ninety-three".