312120293 has 2 divisors, whose sum is σ = 312120294. Its totient is φ = 312120292.

The previous prime is 312120269. The next prime is 312120311. The reversal of 312120293 is 392021213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183819364 + 128300929 = 13558^2 + 11327^2 .

It is a cyclic number.

It is not a de Polignac number, because 312120293 - 2⁶ = 312120229 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312120203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156060146 + 156060147.

It is an arithmetic number, because the mean of its divisors is an integer number (156060147).

Almost surely, 2^312120293 is an apocalyptic number.

It is an amenable number.

312120293 is a deficient number, since it is larger than the sum of its proper divisors (1).

312120293 is an equidigital number, since it uses as much as digits as its factorization.

312120293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 312120293 is about 17666.9265295354. The cubic root of 312120293 is about 678.3294438553.

The spelling of 312120293 in words is "three hundred twelve million, one hundred twenty thousand, two hundred ninety-three".