11200001200011 has 24 divisors (see below), whose sum is σ = 18339183255120. Its totient is φ = 6529555354176.

The previous prime is 11200001200001. The next prime is 11200001200013. The reversal of 11200001200011 is 11000210000211.

It is a happy number.

It is not a de Polignac number, because 11200001200011 - 2²⁹ = 11199464329099 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 11200001199966 and 11200001200002.

It is not an unprimeable number, because it can be changed into a prime (11200001200013) 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, 2519116356 + ... + 2519120801.

It is an arithmetic number, because the mean of its divisors is an integer number (764132635630).

Almost surely, 2^{11200001200011} is an apocalyptic number.

11200001200011 is a deficient number, since it is larger than the sum of its proper divisors (7139182055109).

11200001200011 is a wasteful number, since it uses less digits than its factorization.

11200001200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038237195 (or 5038237192 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11200001200011 its reverse (11000210000211), we get a palindrome (22200211200222).

The spelling of 11200001200011 in words is "eleven trillion, two hundred billion, one million, two hundred thousand, eleven".