122311321 has 8 divisors (see below), whose sum is σ = 134282304. Its totient is φ = 110482320.

The previous prime is 122311297. The next prime is 122311327. The reversal of 122311321 is 123113221.

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 122311321 - 2¹⁵ = 122278553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122311295 and 122311304.

It is not an unprimeable number, because it can be changed into a prime (122311327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33685 + ... + 37138.

It is an arithmetic number, because the mean of its divisors is an integer number (16785288).

Almost surely, 2^122311321 is an apocalyptic number.

122311321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122311321 is a deficient number, since it is larger than the sum of its proper divisors (11970983).

122311321 is a wasteful number, since it uses less digits than its factorization.

122311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70991.

The product of its digits is 72, while the sum is 16.

The square root of 122311321 is about 11059.4448775696. Note that the first 3 decimals coincide. The cubic root of 122311321 is about 496.3890799553.

Adding to 122311321 its reverse (123113221), we get a palindrome (245424542).

It can be divided in two parts, 1223 and 11321, that added together give a square (12544 = 112²).

The spelling of 122311321 in words is "one hundred twenty-two million, three hundred eleven thousand, three hundred twenty-one".