311223121 has 16 divisors (see below), whose sum is σ = 351362880. Its totient is φ = 273208320.

The previous prime is 311223083. The next prime is 311223149. The reversal of 311223121 is 121322113.

It is not a de Polignac number, because 311223121 - 2¹⁷ = 311092049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311223095 and 311223104.

It is not an unprimeable number, because it can be changed into a prime (311223181) 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 15 ways as a sum of consecutive naturals, for example, 38401 + ... + 45793.

It is an arithmetic number, because the mean of its divisors is an integer number (21960180).

Almost surely, 2^311223121 is an apocalyptic number.

It is an amenable number.

311223121 is a deficient number, since it is larger than the sum of its proper divisors (40139759).

311223121 is a wasteful number, since it uses less digits than its factorization.

311223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7536.

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

The square root of 311223121 is about 17641.5169699207. The cubic root of 311223121 is about 677.6788803406.

Adding to 311223121 its reverse (121322113), we get a palindrome (432545234).

It can be divided in two parts, 31122 and 3121, that added together give a palindrome (34243).

The spelling of 311223121 in words is "three hundred eleven million, two hundred twenty-three thousand, one hundred twenty-one".