12200100010112 has 256 divisors, whose sum is σ = 29352264192000. Its totient is φ = 4934273863680.

The previous prime is 12200100010069. The next prime is 12200100010157. The reversal of 12200100010112 is 21101000100221.

It is a junction number, because it is equal to n+sod(n) for n = 12200100010093 and 12200100010102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5983373189 + ... + 5983375227.

It is an arithmetic number, because the mean of its divisors is an integer number (114657282000).

Almost surely, 2^{12200100010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676132096000).

12200100010112 is an abundant number, since it is smaller than the sum of its proper divisors (17152164181888).

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

12200100010112 is a wasteful number, since it uses less digits than its factorization.

12200100010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12200100010112 its reverse (21101000100221), we get a palindrome (33301100110333).

The spelling of 12200100010112 in words is "twelve trillion, two hundred billion, one hundred million, ten thousand, one hundred twelve".