122312112450401 has 2 divisors, whose sum is σ = 122312112450402. Its totient is φ = 122312112450400.

The previous prime is 122312112450371. The next prime is 122312112450433. The reversal of 122312112450401 is 104054211213221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120468624672400 + 1843487778001 = 10975820^2 + 1357751^2 .

It is a cyclic number.

It is not a de Polignac number, because 122312112450401 - 2³⁸ = 122037234543457 is a prime.

It is not a weakly prime, because it can be changed into another prime (122312112450481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156056225200 + 61156056225201.

It is an arithmetic number, because the mean of its divisors is an integer number (61156056225201).

Almost surely, 2^{122312112450401} is an apocalyptic number.

It is an amenable number.

122312112450401 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312112450401 is an equidigital number, since it uses as much as digits as its factorization.

122312112450401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 122312112450401 its reverse (104054211213221), we get a palindrome (226366323663622).

The spelling of 122312112450401 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred twelve million, four hundred fifty thousand, four hundred one".