12211121210200 has 384 divisors, whose sum is σ = 31933168021440. Its totient is φ = 4304768000000.

The previous prime is 12211121210177. The next prime is 12211121210207. The reversal of 12211121210200 is 201212111221.

12211121210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12211121210200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211121210207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9385949550 + ... + 9385950850.

Almost surely, 2^{12211121210200} is an apocalyptic number.

12211121210200 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 12211121210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966584010720).

12211121210200 is an abundant number, since it is smaller than the sum of its proper divisors (19722046811240).

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

12211121210200 is a wasteful number, since it uses less digits than its factorization.

12211121210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12211121210200 its reverse (201212111221), we get a palindrome (12412333321421).

The spelling of 12211121210200 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, two hundred ten thousand, two hundred".