212232333312 has 144 divisors (see below), whose sum is σ = 620355546720. Its totient is φ = 69891268608.

The previous prime is 212232333311. The next prime is 212232333353. The reversal of 212232333312 is 213333232212.

212232333312 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 323 + 3 + 331 + 2 = 666.

212232333312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212232333311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1460493 + ... + 1599219.

It is an arithmetic number, because the mean of its divisors is an integer number (4308024630).

Almost surely, 2^212232333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212232333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310177773360).

212232333312 is an abundant number, since it is smaller than the sum of its proper divisors (408123213408).

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

212232333312 is a wasteful number, since it uses less digits than its factorization.

212232333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138838 (or 138815 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 212232333312 its reverse (213333232212), we get a palindrome (425565565524).

The spelling of 212232333312 in words is "two hundred twelve billion, two hundred thirty-two million, three hundred thirty-three thousand, three hundred twelve".