12200212210200 has 384 divisors, whose sum is σ = 43969042944000. Its totient is φ = 2740555123200.

The previous prime is 12200212210187. The next prime is 12200212210211. The reversal of 12200212210200 is 201221200221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12200212210200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1397339835 + ... + 1397348565.

It is an arithmetic number, because the mean of its divisors is an integer number (114502716000).

Almost surely, 2^{12200212210200} is an apocalyptic number.

12200212210200 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 12200212210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21984521472000).

12200212210200 is an abundant number, since it is smaller than the sum of its proper divisors (31768830733800).

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

12200212210200 is a wasteful number, since it uses less digits than its factorization.

12200212210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14455 (or 14446 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12200212210200 its reverse (201221200221), we get a palindrome (12401433410421).

The spelling of 12200212210200 in words is "twelve trillion, two hundred billion, two hundred twelve million, two hundred ten thousand, two hundred".