212322133222200 has 72 divisors (see below), whose sum is σ = 713048497410600. Its totient is φ = 56619235525440.

The previous prime is 212322133222039. The next prime is 212322133222249. The reversal of 212322133222200 is 2222331223212.

212322133222200 is a `hidden beast` number, since 2 + 1 + 2 + 322 + 1 + 332 + 2 + 2 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58978368540 + ... + 58978372139.

It is an arithmetic number, because the mean of its divisors is an integer number (9903451352925).

Almost surely, 2^{212322133222200} is an apocalyptic number.

212322133222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212322133222200 is an abundant number, since it is smaller than the sum of its proper divisors (500726364188400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212322133222200 is a wasteful number, since it uses less digits than its factorization.

212322133222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117956740701 (or 117956740689 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 212322133222200 its reverse (2222331223212), we get a palindrome (214544464445412).

The spelling of 212322133222200 in words is "two hundred twelve trillion, three hundred twenty-two billion, one hundred thirty-three million, two hundred twenty-two thousand, two hundred".