212012012002249 has 2 divisors, whose sum is σ = 212012012002250. Its totient is φ = 212012012002248.

The previous prime is 212012012002187. The next prime is 212012012002267. The reversal of 212012012002249 is 942200210210212.

212012012002249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192590363002249 + 19421649000000 = 13877693^2 + 4407000^2 .

It is a cyclic number.

It is not a de Polignac number, because 212012012002249 - 2⁹ = 212012012001737 is a prime.

It is not a weakly prime, because it can be changed into another prime (212012012002949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006006001124 + 106006006001125.

It is an arithmetic number, because the mean of its divisors is an integer number (106006006001125).

Almost surely, 2^{212012012002249} is an apocalyptic number.

It is an amenable number.

212012012002249 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012012002249 is an equidigital number, since it uses as much as digits as its factorization.

212012012002249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 212012012002249 in words is "two hundred twelve trillion, twelve billion, twelve million, two thousand, two hundred forty-nine".