312120311 has 2 divisors, whose sum is σ = 312120312. Its totient is φ = 312120310.

The previous prime is 312120293. The next prime is 312120313. The reversal of 312120311 is 113021213.

It is a strong prime.

It is an emirp because it is prime and its reverse (113021213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312120311 - 2¹⁰ = 312119287 is a prime.

It is a Sophie Germain prime.

Together with 312120313, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312120313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156060155 + 156060156.

It is an arithmetic number, because the mean of its divisors is an integer number (156060156).

Almost surely, 2^312120311 is an apocalyptic number.

312120311 is a deficient number, since it is larger than the sum of its proper divisors (1).

312120311 is an equidigital number, since it uses as much as digits as its factorization.

312120311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 312120311 is about 17666.9270389618. The cubic root of 312120311 is about 678.3294568951.

Adding to 312120311 its reverse (113021213), we get a palindrome (425141524).

It can be divided in two parts, 3121 and 20311, that added together give a palindrome (23432).

The spelling of 312120311 in words is "three hundred twelve million, one hundred twenty thousand, three hundred eleven".