122456401 has 2 divisors, whose sum is σ = 122456402. Its totient is φ = 122456400.

The previous prime is 122456351. The next prime is 122456407. The reversal of 122456401 is 104654221.

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., 101525776 + 20930625 = 10076^2 + 4575^2 .

It is a cyclic number.

It is not a de Polignac number, because 122456401 - 2¹⁹ = 121932113 is a prime.

It is not a weakly prime, because it can be changed into another prime (122456407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61228200 + 61228201.

It is an arithmetic number, because the mean of its divisors is an integer number (61228201).

Almost surely, 2^122456401 is an apocalyptic number.

It is an amenable number.

122456401 is a deficient number, since it is larger than the sum of its proper divisors (1).

122456401 is an equidigital number, since it uses as much as digits as its factorization.

122456401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 122456401 is about 11066.0020332548. The cubic root of 122456401 is about 496.5852669526.

The spelling of 122456401 in words is "one hundred twenty-two million, four hundred fifty-six thousand, four hundred one".