122310344310401 has 16 divisors (see below), whose sum is σ = 137013683548560. Its totient is φ = 108406430818560.

The previous prime is 122310344310397. The next prime is 122310344310403. The reversal of 122310344310401 is 104013443013221.

It can be written as a sum of positive squares in 8 ways, for example, as 70573037402176 + 51737306908225 = 8400776^2 + 7192865^2 .

It is a cyclic number.

It is not a de Polignac number, because 122310344310401 - 2² = 122310344310397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (122310344310403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896148950 + ... + 896285423.

It is an arithmetic number, because the mean of its divisors is an integer number (8563355221785).

Almost surely, 2^{122310344310401} is an apocalyptic number.

It is an amenable number.

122310344310401 is a deficient number, since it is larger than the sum of its proper divisors (14703339238159).

122310344310401 is a wasteful number, since it uses less digits than its factorization.

122310344310401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792434596.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 122310344310401 its reverse (104013443013221), we get a palindrome (226323787323622).

The spelling of 122310344310401 in words is "one hundred twenty-two trillion, three hundred ten billion, three hundred forty-four million, three hundred ten thousand, four hundred one".