212302333334000 has 320 divisors, whose sum is σ = 645254573064192. Its totient is φ = 65760607872000.

The previous prime is 212302333333957. The next prime is 212302333334083. The reversal of 212302333334000 is 433333203212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3855536 + ... + 20963535.

Almost surely, 2^{212302333334000} is an apocalyptic number.

212302333334000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212302333334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322627286532096).

212302333334000 is an abundant number, since it is smaller than the sum of its proper divisors (432952239730192).

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

212302333334000 is a wasteful number, since it uses less digits than its factorization.

212302333334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24819161 (or 24819145 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 212302333334000 its reverse (433333203212), we get a palindrome (212735666537212).

The spelling of 212302333334000 in words is "two hundred twelve trillion, three hundred two billion, three hundred thirty-three million, three hundred thirty-four thousand".