312120433 has 2 divisors, whose sum is σ = 312120434. Its totient is φ = 312120432.

The previous prime is 312120427. The next prime is 312120437. The reversal of 312120433 is 334021213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240498064 + 71622369 = 15508^2 + 8463^2 .

It is an emirp because it is prime and its reverse (334021213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312120433 - 2¹⁷ = 311989361 is a prime.

It is a super-2 number, since 2×312120433² = 194838329392214978, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312120433.

It is not a weakly prime, because it can be changed into another prime (312120437) 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 as a sum of consecutive naturals, namely, 156060216 + 156060217.

It is an arithmetic number, because the mean of its divisors is an integer number (156060217).

Almost surely, 2^312120433 is an apocalyptic number.

It is an amenable number.

312120433 is a deficient number, since it is larger than the sum of its proper divisors (1).

312120433 is an equidigital number, since it uses as much as digits as its factorization.

312120433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 312120433 is about 17666.9304917408. The cubic root of 312120433 is about 678.3295452758.

Adding to 312120433 its reverse (334021213), we get a palindrome (646141646).

The spelling of 312120433 in words is "three hundred twelve million, one hundred twenty thousand, four hundred thirty-three".