12111211112200 has 192 divisors, whose sum is σ = 30324145737600. Its totient is φ = 4484816179200.

The previous prime is 12111211112179. The next prime is 12111211112227. The reversal of 12111211112200 is 221111211121.

12111211112200 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 47 ways as a sum of consecutive naturals, for example, 30288774 + ... + 30686026.

It is an arithmetic number, because the mean of its divisors is an integer number (157938259050).

Almost surely, 2^{12111211112200} is an apocalyptic number.

12111211112200 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 12111211112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15162072868800).

12111211112200 is an abundant number, since it is smaller than the sum of its proper divisors (18212934625400).

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

12111211112200 is a wasteful number, since it uses less digits than its factorization.

12111211112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397472 (or 397463 counting only the distinct ones).

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

Adding to 12111211112200 its reverse (221111211121), we get a palindrome (12332322323321).

The spelling of 12111211112200 in words is "twelve trillion, one hundred eleven billion, two hundred eleven million, one hundred twelve thousand, two hundred".