232200212000 has 192 divisors, whose sum is σ = 610074672480. Its totient is φ = 86548480000.

The previous prime is 232200211951. The next prime is 232200212077. The reversal of 232200212000 is 212002232.

It can be written as a sum of positive squares in 16 ways, for example, as 15264108304 + 216936103696 = 123548^2 + 465764^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6851096 + ... + 6884904.

Almost surely, 2^232200212000 is an apocalyptic number.

232200212000 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 232200212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305037336240).

232200212000 is an abundant number, since it is smaller than the sum of its proper divisors (377874460480).

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

232200212000 is a wasteful number, since it uses less digits than its factorization.

232200212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33952 (or 33934 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 232200212000 its reverse (212002232), we get a palindrome (232412214232).

The spelling of 232200212000 in words is "two hundred thirty-two billion, two hundred million, two hundred twelve thousand".