122350350401 has 2 divisors, whose sum is σ = 122350350402. Its totient is φ = 122350350400.

The previous prime is 122350350383. The next prime is 122350350403. The reversal of 122350350401 is 104053053221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119438668801 + 2911681600 = 345599^2 + 53960^2 .

It is a cyclic number.

It is not a de Polignac number, because 122350350401 - 2³⁰ = 121276608577 is a prime.

Together with 122350350403, 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 (122350350403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61175175200 + 61175175201.

It is an arithmetic number, because the mean of its divisors is an integer number (61175175201).

Almost surely, 2^122350350401 is an apocalyptic number.

It is an amenable number.

122350350401 is a deficient number, since it is larger than the sum of its proper divisors (1).

122350350401 is an equidigital number, since it uses as much as digits as its factorization.

122350350401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 122350350401 in words is "one hundred twenty-two billion, three hundred fifty million, three hundred fifty thousand, four hundred one".