12212120200 has 192 divisors, whose sum is σ = 33194304000. Its totient is φ = 4092042240.

The previous prime is 12212120177. The next prime is 12212120201. The reversal of 12212120200 is 202121221.

It is a happy number.

12212120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12212120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12054894 + ... + 12055906.

It is an arithmetic number, because the mean of its divisors is an integer number (172887000).

Almost surely, 2^12212120200 is an apocalyptic number.

12212120200 is a gapful number since it is divisible by the number (10) 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 12212120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597152000).

12212120200 is an abundant number, since it is smaller than the sum of its proper divisors (20982183800).

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

12212120200 is a wasteful number, since it uses less digits than its factorization.

12212120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12212120200 its reverse (202121221), we get a palindrome (12414241421).

The spelling of 12212120200 in words is "twelve billion, two hundred twelve million, one hundred twenty thousand, two hundred".