12210120210200 has 192 divisors, whose sum is σ = 32739205449600. Its totient is φ = 4188300825600.

The previous prime is 12210120210161. The next prime is 12210120210217. The reversal of 12210120210200 is 201202101221.

12210120210200 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9112559 + ... + 10366241.

It is an arithmetic number, because the mean of its divisors is an integer number (170516695050).

Almost surely, 2^{12210120210200} is an apocalyptic number.

12210120210200 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 12210120210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16369602724800).

12210120210200 is an abundant number, since it is smaller than the sum of its proper divisors (20529085239400).

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

12210120210200 is a wasteful number, since it uses less digits than its factorization.

12210120210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253962 (or 1253953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12210120210200 its reverse (201202101221), we get a palindrome (12411322311421).

The spelling of 12210120210200 in words is "twelve trillion, two hundred ten billion, one hundred twenty million, two hundred ten thousand, two hundred".