122312112503201 has 2 divisors, whose sum is σ = 122312112503202. Its totient is φ = 122312112503200.

The previous prime is 122312112503197. The next prime is 122312112503237. The reversal of 122312112503201 is 102305211213221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68224692510976 + 54087419992225 = 8259824^2 + 7354415^2 .

It is a cyclic number.

It is not a de Polignac number, because 122312112503201 - 2² = 122312112503197 is a prime.

It is not a weakly prime, because it can be changed into another prime (122312112503401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156056251600 + 61156056251601.

It is an arithmetic number, because the mean of its divisors is an integer number (61156056251601).

Almost surely, 2^{122312112503201} is an apocalyptic number.

It is an amenable number.

122312112503201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312112503201 is an equidigital number, since it uses as much as digits as its factorization.

122312112503201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 122312112503201 its reverse (102305211213221), we get a palindrome (224617323716422).

The spelling of 122312112503201 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred twelve million, five hundred three thousand, two hundred one".