122314212025321 has 16 divisors (see below), whose sum is σ = 127872346346640. Its totient is φ = 116846122659840.

The previous prime is 122314212025307. The next prime is 122314212025417. The reversal of 122314212025321 is 123520212413221.

It can be written as a sum of positive squares in 8 ways, for example, as 1748014515625 + 120566197509696 = 1322125^2 + 10980264^2 .

It is a cyclic number.

It is not a de Polignac number, because 122314212025321 - 2⁷ = 122314212025193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122314212025021) 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, 3893701 + ... + 16117981.

It is an arithmetic number, because the mean of its divisors is an integer number (7992021646665).

Almost surely, 2^{122314212025321} is an apocalyptic number.

It is an amenable number.

122314212025321 is a deficient number, since it is larger than the sum of its proper divisors (5558134321319).

122314212025321 is a wasteful number, since it uses less digits than its factorization.

122314212025321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12227964.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 122314212025321 its reverse (123520212413221), we get a palindrome (245834424438542).

The spelling of 122314212025321 in words is "one hundred twenty-two trillion, three hundred fourteen billion, two hundred twelve million, twenty-five thousand, three hundred twenty-one".