122680817321 has 2 divisors, whose sum is σ = 122680817322. Its totient is φ = 122680817320.

The previous prime is 122680817269. The next prime is 122680817323. The reversal of 122680817321 is 123718086221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110497072921 + 12183744400 = 332411^2 + 110380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122680817321 is a prime.

Together with 122680817323, 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 (122680817323) 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, 61340408660 + 61340408661.

It is an arithmetic number, because the mean of its divisors is an integer number (61340408661).

Almost surely, 2^122680817321 is an apocalyptic number.

It is an amenable number.

122680817321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122680817321 is an equidigital number, since it uses as much as digits as its factorization.

122680817321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 122680817321 in words is "one hundred twenty-two billion, six hundred eighty million, eight hundred seventeen thousand, three hundred twenty-one".