212110011200 has 168 divisors, whose sum is σ = 573281373120. Its totient is φ = 76883558400.

The previous prime is 212110011161. The next prime is 212110011203. The reversal of 212110011200 is 2110011212.

212110011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212110011203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 547520 + ... + 850880.

Almost surely, 2^212110011200 is an apocalyptic number.

212110011200 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 212110011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286640686560).

212110011200 is an abundant number, since it is smaller than the sum of its proper divisors (361171361920).

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

212110011200 is a wasteful number, since it uses less digits than its factorization.

212110011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303425 (or 303410 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212110011200 its reverse (2110011212), we get a palindrome (214220022412).

The spelling of 212110011200 in words is "two hundred twelve billion, one hundred ten million, eleven thousand, two hundred".