12111111212200 has 1152 divisors, whose sum is σ = 40746264572160. Its totient is φ = 3246059520000.

The previous prime is 12111111212159. The next prime is 12111111212243. The reversal of 12111111212200 is 221211111121.

12111111212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3781175799 + ... + 3781179001.

It is an arithmetic number, because the mean of its divisors is an integer number (35370021330).

Almost surely, 2^{12111111212200} is an apocalyptic number.

12111111212200 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 12111111212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20373132286080).

12111111212200 is an abundant number, since it is smaller than the sum of its proper divisors (28635153359960).

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

12111111212200 is a wasteful number, since it uses less digits than its factorization.

12111111212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3359 counting only the distinct ones).

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

Adding to 12111111212200 its reverse (221211111121), we get a palindrome (12332322323321).

It can be divided in two parts, 121111 and 11212200, that added together give a palindrome (11333311).

The spelling of 12111111212200 in words is "twelve trillion, one hundred eleven billion, one hundred eleven million, two hundred twelve thousand, two hundred".