122132414321 has 2 divisors, whose sum is σ = 122132414322. Its totient is φ = 122132414320.

The previous prime is 122132414309. The next prime is 122132414363. The reversal of 122132414321 is 123414231221.

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., 104095924321 + 18036490000 = 322639^2 + 134300^2 .

It is an emirp because it is prime and its reverse (123414231221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122132414321 - 2²² = 122128220017 is a prime.

It is not a weakly prime, because it can be changed into another prime (122132014321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61066207160 + 61066207161.

It is an arithmetic number, because the mean of its divisors is an integer number (61066207161).

Almost surely, 2^122132414321 is an apocalyptic number.

It is an amenable number.

122132414321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122132414321 is an equidigital number, since it uses as much as digits as its factorization.

122132414321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 26.

Adding to 122132414321 its reverse (123414231221), we get a palindrome (245546645542).

The spelling of 122132414321 in words is "one hundred twenty-two billion, one hundred thirty-two million, four hundred fourteen thousand, three hundred twenty-one".