11200012200 has 288 divisors, whose sum is σ = 41452451040. Its totient is φ = 2692569600.

The previous prime is 11200012169. The next prime is 11200012217. The reversal of 11200012200 is 221000211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1000635 + ... + 1011765.

Almost surely, 2^11200012200 is an apocalyptic number.

11200012200 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 11200012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20726225520).

11200012200 is an abundant number, since it is smaller than the sum of its proper divisors (30252438840).

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

11200012200 is a wasteful number, since it uses less digits than its factorization.

11200012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11209 (or 11197 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11200012200 its reverse (221000211), we get a palindrome (11421012411).

The spelling of 11200012200 in words is "eleven billion, two hundred million, twelve thousand, two hundred".