312122321 has 8 divisors (see below), whose sum is σ = 357839040. Its totient is φ = 266687568.

The previous prime is 312122311. The next prime is 312122333. The reversal of 312122321 is 123221213.

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

It is not a de Polignac number, because 312122321 - 2¹⁸ = 311860177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312122321.

It is not an unprimeable number, because it can be changed into a prime (312122311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68111 + ... + 72548.

It is an arithmetic number, because the mean of its divisors is an integer number (44729880).

Almost surely, 2^312122321 is an apocalyptic number.

It is an amenable number.

312122321 is a deficient number, since it is larger than the sum of its proper divisors (45716719).

312122321 is a wasteful number, since it uses less digits than its factorization.

312122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140983.

The product of its digits is 144, while the sum is 17.

The square root of 312122321 is about 17666.9839248243. The cubic root of 312122321 is about 678.3309129995.

Adding to 312122321 its reverse (123221213), we get a palindrome (435343534).

It can be divided in two parts, 31212 and 2321, that added together give a palindrome (33533).

The spelling of 312122321 in words is "three hundred twelve million, one hundred twenty-two thousand, three hundred twenty-one".