11200400211 has 48 divisors (see below), whose sum is σ = 20203027712. Its totient is φ = 5370805440.

The previous prime is 11200400209. The next prime is 11200400221.

It is a happy number.

11200400211 is nontrivially palindromic in base 10.

11200400211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11200400211 - 2¹ = 11200400209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11200400201) 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, 136501 + ... + 202566.

Almost surely, 2^11200400211 is an apocalyptic number.

11200400211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11200400211 is a deficient number, since it is larger than the sum of its proper divisors (9002627501).

11200400211 is a wasteful number, since it uses less digits than its factorization.

11200400211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339112 (or 339101 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The spelling of 11200400211 in words is "eleven billion, two hundred million, four hundred thousand, two hundred eleven".