312220220321 has 8 divisors (see below), whose sum is σ = 339520876200. Its totient is φ = 285912315648.

The previous prime is 312220220251. The next prime is 312220220327. The reversal of 312220220321 is 123022022213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 176453764096 + 135766456225 = 420064^2 + 368465^2 .

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 312220220321 - 2¹⁴ = 312220203937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312220220293 and 312220220302.

It is not an unprimeable number, because it can be changed into a prime (312220220327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248187146 + ... + 248188403.

It is an arithmetic number, because the mean of its divisors is an integer number (42440109525).

Almost surely, 2^312220220321 is an apocalyptic number.

It is an amenable number.

312220220321 is a deficient number, since it is larger than the sum of its proper divisors (27300655879).

312220220321 is a wasteful number, since it uses less digits than its factorization.

312220220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496375603.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312220220321 its reverse (123022022213), we get a palindrome (435242242534).

The spelling of 312220220321 in words is "three hundred twelve billion, two hundred twenty million, two hundred twenty thousand, three hundred twenty-one".