11200011200 has 168 divisors, whose sum is σ = 31811085984. Its totient is φ = 3801600000.

The previous prime is 11200011197. The next prime is 11200011209. The reversal of 11200011200 is 211000211.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200011209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1126250 + ... + 1136150.

Almost surely, 2^11200011200 is an apocalyptic number.

11200011200 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 11200011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15905542992).

11200011200 is an abundant number, since it is smaller than the sum of its proper divisors (20611074784).

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

11200011200 is a wasteful number, since it uses less digits than its factorization.

11200011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10031 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11200011200 its reverse (211000211), we get a palindrome (11411011411).

It can be divided in two parts, 11200011 and 200, that added together give a palindrome (11200211).

The spelling of 11200011200 in words is "eleven billion, two hundred million, eleven thousand, two hundred".