312122100321 has 6 divisors (see below), whose sum is σ = 450843033810. Its totient is φ = 208081400208.

The previous prime is 312122100307. The next prime is 312122100331. The reversal of 312122100321 is 123001221213.

312122100321 is a `hidden beast` number, since 3 + 121 + 221 + 0 + 0 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 275033118096 + 37088982225 = 524436^2 + 192585^2 .

It is not a de Polignac number, because 312122100321 - 2¹³ = 312122092129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312122100294 and 312122100303.

It is not an unprimeable number, because it can be changed into a prime (312122100331) 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 5 ways as a sum of consecutive naturals, for example, 17340116676 + ... + 17340116693.

It is an arithmetic number, because the mean of its divisors is an integer number (75140505635).

Almost surely, 2^312122100321 is an apocalyptic number.

It is an amenable number.

312122100321 is a deficient number, since it is larger than the sum of its proper divisors (138720933489).

312122100321 is a wasteful number, since it uses less digits than its factorization.

312122100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34680233375 (or 34680233372 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312122100321 its reverse (123001221213), we get a palindrome (435123321534).

The spelling of 312122100321 in words is "three hundred twelve billion, one hundred twenty-two million, one hundred thousand, three hundred twenty-one".