12112121200117 has 2 divisors, whose sum is σ = 12112121200118. Its totient is φ = 12112121200116.

The previous prime is 12112121200087. The next prime is 12112121200133. The reversal of 12112121200117 is 71100212121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10064686455121 + 2047434744996 = 3172489^2 + 1430886^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12112121200117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12112125200117) 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, 6056060600058 + 6056060600059.

It is an arithmetic number, because the mean of its divisors is an integer number (6056060600059).

Almost surely, 2^{12112121200117} is an apocalyptic number.

It is an amenable number.

12112121200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112121200117 is an equidigital number, since it uses as much as digits as its factorization.

12112121200117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 12112121200117 its reverse (71100212121121), we get a palindrome (83212333321238).

The spelling of 12112121200117 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-one million, two hundred thousand, one hundred seventeen".