122314105305251 has 2 divisors, whose sum is σ = 122314105305252. Its totient is φ = 122314105305250.

The previous prime is 122314105305241. The next prime is 122314105305253. The reversal of 122314105305251 is 152503501413221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122314105305251 - 2¹⁴ = 122314105288867 is a prime.

Together with 122314105305253, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122314105305253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61157052652625 + 61157052652626.

It is an arithmetic number, because the mean of its divisors is an integer number (61157052652626).

Almost surely, 2^{122314105305251} is an apocalyptic number.

122314105305251 is a deficient number, since it is larger than the sum of its proper divisors (1).

122314105305251 is an equidigital number, since it uses as much as digits as its factorization.

122314105305251 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 122314105305251 its reverse (152503501413221), we get a palindrome (274817606718472).

The spelling of 122314105305251 in words is "one hundred twenty-two trillion, three hundred fourteen billion, one hundred five million, three hundred five thousand, two hundred fifty-one".