12123131117 has 2 divisors, whose sum is σ = 12123131118. Its totient is φ = 12123131116.

The previous prime is 12123131017. The next prime is 12123131131. The reversal of 12123131117 is 71113132121.

12123131117 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., 12066143716 + 56987401 = 109846^2 + 7549^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123131117 - 2¹² = 12123127021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12123131092 and 12123131101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12123131147) 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, 6061565558 + 6061565559.

It is an arithmetic number, because the mean of its divisors is an integer number (6061565559).

Almost surely, 2^12123131117 is an apocalyptic number.

It is an amenable number.

12123131117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123131117 is an equidigital number, since it uses as much as digits as its factorization.

12123131117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 23.

Adding to 12123131117 its reverse (71113132121), we get a palindrome (83236263238).

The spelling of 12123131117 in words is "twelve billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred seventeen".