312242242242221 has 2 divisors, whose sum is σ = 312242242242222. Its totient is φ = 312242242242220.

The previous prime is 312242242242181. The next prime is 312242242242223. The reversal of 312242242242221 is 122242242242213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306544420728100 + 5697821514121 = 17508410^2 + 2387011^2 .

It is a cyclic number.

It is not a de Polignac number, because 312242242242221 - 2¹⁸ = 312242241980077 is a prime.

Together with 312242242242223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312242242242223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156121121121110 + 156121121121111.

It is an arithmetic number, because the mean of its divisors is an integer number (156121121121111).

Almost surely, 2^{312242242242221} is an apocalyptic number.

It is an amenable number.

312242242242221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312242242242221 is an equidigital number, since it uses as much as digits as its factorization.

312242242242221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 98304, while the sum is 35.

Adding to 312242242242221 its reverse (122242242242213), we get a palindrome (434484484484434).

The spelling of 312242242242221 in words is "three hundred twelve trillion, two hundred forty-two billion, two hundred forty-two million, two hundred forty-two thousand, two hundred twenty-one".