312033122249 has 2 divisors, whose sum is σ = 312033122250. Its totient is φ = 312033122248.

The previous prime is 312033122221. The next prime is 312033122287. The reversal of 312033122249 is 942221330213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 283202780224 + 28830342025 = 532168^2 + 169795^2 .

It is a cyclic number.

It is not a de Polignac number, because 312033122249 - 2³⁶ = 243313645513 is a prime.

It is not a weakly prime, because it can be changed into another prime (312033122209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156016561124 + 156016561125.

It is an arithmetic number, because the mean of its divisors is an integer number (156016561125).

Almost surely, 2^312033122249 is an apocalyptic number.

It is an amenable number.

312033122249 is a deficient number, since it is larger than the sum of its proper divisors (1).

312033122249 is an equidigital number, since it uses as much as digits as its factorization.

312033122249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 312033122249 in words is "three hundred twelve billion, thirty-three million, one hundred twenty-two thousand, two hundred forty-nine".