12222120133 has 2 divisors, whose sum is σ = 12222120134. Its totient is φ = 12222120132.

The previous prime is 12222120107. The next prime is 12222120149. The reversal of 12222120133 is 33102122221.

12222120133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10449541729 + 1772578404 = 102223^2 + 42102^2 .

It is a cyclic number.

It is not a de Polignac number, because 12222120133 - 2²⁹ = 11685249221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12222120133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12222120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111060066 + 6111060067.

It is an arithmetic number, because the mean of its divisors is an integer number (6111060067).

Almost surely, 2^12222120133 is an apocalyptic number.

It is an amenable number.

12222120133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222120133 is an equidigital number, since it uses as much as digits as its factorization.

12222120133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12222120133 its reverse (33102122221), we get a palindrome (45324242354).

It can be divided in two parts, 12222 and 120133, that added together give a triangular number (132355 = T₅₁₄).

The spelling of 12222120133 in words is "twelve billion, two hundred twenty-two million, one hundred twenty thousand, one hundred thirty-three".