312114121411241 has 2 divisors, whose sum is σ = 312114121411242. Its totient is φ = 312114121411240.

The previous prime is 312114121411181. The next prime is 312114121411321. The reversal of 312114121411241 is 142114121411213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 246257569219216 + 65856552192025 = 15692596^2 + 8115205^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312114121411241 is a prime.

It is not a weakly prime, because it can be changed into another prime (312114121410241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156057060705620 + 156057060705621.

It is an arithmetic number, because the mean of its divisors is an integer number (156057060705621).

Almost surely, 2^{312114121411241} is an apocalyptic number.

It is an amenable number.

312114121411241 is a deficient number, since it is larger than the sum of its proper divisors (1).

312114121411241 is an equidigital number, since it uses as much as digits as its factorization.

312114121411241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1536, while the sum is 29.

Adding to 312114121411241 its reverse (142114121411213), we get a palindrome (454228242822454).

The spelling of 312114121411241 in words is "three hundred twelve trillion, one hundred fourteen billion, one hundred twenty-one million, four hundred eleven thousand, two hundred forty-one".