212133312009 has 48 divisors (see below), whose sum is σ = 316725689280. Its totient is φ = 136715610240.

The previous prime is 212133311993. The next prime is 212133312151. The reversal of 212133312009 is 900213331212.

212133312009 is a `hidden beast` number, since 2 + 121 + 3 + 331 + 200 + 9 = 666.

It is not a de Polignac number, because 212133312009 - 2⁴ = 212133311993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212133310009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33835327 + ... + 33841595.

It is an arithmetic number, because the mean of its divisors is an integer number (6598451860).

Almost surely, 2^212133312009 is an apocalyptic number.

It is an amenable number.

212133312009 is a deficient number, since it is larger than the sum of its proper divisors (104592377271).

212133312009 is a wasteful number, since it uses less digits than its factorization.

212133312009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 212133312009 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred twelve thousand, nine".