12211112122133 has 2 divisors, whose sum is σ = 12211112122134. Its totient is φ = 12211112122132.

The previous prime is 12211112122093. The next prime is 12211112122193. The reversal of 12211112122133 is 33122121111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11291703457969 + 919408664164 = 3360313^2 + 958858^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211112122133 - 2⁸ = 12211112121877 is a prime.

It is a super-2 number, since 2×12211112122133² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211112122099 and 12211112122108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211112122193) 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, 6105556061066 + 6105556061067.

It is an arithmetic number, because the mean of its divisors is an integer number (6105556061067).

Almost surely, 2^{12211112122133} is an apocalyptic number.

It is an amenable number.

12211112122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211112122133 is an equidigital number, since it uses as much as digits as its factorization.

12211112122133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 23.

Adding to 12211112122133 its reverse (33122121111221), we get a palindrome (45333233233354).

The spelling of 12211112122133 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred thirty-three".