122200312321 has 8 divisors (see below), whose sum is σ = 122556803688. Its totient is φ = 121844304000.

The previous prime is 122200312303. The next prime is 122200312337. The reversal of 122200312321 is 123213002221.

It can be written as a sum of positive squares in 4 ways, for example, as 831687921 + 121368624400 = 28839^2 + 348380^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122200312321 - 2⁹ = 122200311809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122200312921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389061 + ... + 629101.

It is an arithmetic number, because the mean of its divisors is an integer number (15319600461).

Almost surely, 2^122200312321 is an apocalyptic number.

It is an amenable number.

122200312321 is a deficient number, since it is larger than the sum of its proper divisors (356491367).

122200312321 is an equidigital number, since it uses as much as digits as its factorization.

122200312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241523.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 122200312321 its reverse (123213002221), we get a palindrome (245413314542).

The spelling of 122200312321 in words is "one hundred twenty-two billion, two hundred million, three hundred twelve thousand, three hundred twenty-one".