11001111212200 has 96 divisors (see below), whose sum is σ = 25818097536000. Its totient is φ = 4359084076800.

The previous prime is 11001111212191. The next prime is 11001111212213. The reversal of 11001111212200 is 221211110011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100028841 + ... + 100138759.

It is an arithmetic number, because the mean of its divisors is an integer number (268938516000).

Almost surely, 2^{11001111212200} is an apocalyptic number.

11001111212200 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 11001111212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12909048768000).

11001111212200 is an abundant number, since it is smaller than the sum of its proper divisors (14816986323800).

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

11001111212200 is a wasteful number, since it uses less digits than its factorization.

11001111212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114635 (or 114626 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11001111212200 its reverse (221211110011), we get a palindrome (11222322322211).

The spelling of 11001111212200 in words is "eleven trillion, one billion, one hundred eleven million, two hundred twelve thousand, two hundred".