11000011200 has 336 divisors, whose sum is σ = 37363200864. Its totient is φ = 2831155200.

The previous prime is 11000011151. The next prime is 11000011207. The reversal of 11000011200 is 211000011.

11000011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000011207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 42801472 + ... + 42801728.

Almost surely, 2^11000011200 is an apocalyptic number.

11000011200 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 11000011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681600432).

11000011200 is an abundant number, since it is smaller than the sum of its proper divisors (26363189664).

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

11000011200 is a wasteful number, since it uses less digits than its factorization.

11000011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11000011200 its reverse (211000011), we get a palindrome (11211011211).

The spelling of 11000011200 in words is "eleven billion, eleven thousand, two hundred".