11111200211111 has 32 divisors (see below), whose sum is σ = 14919187358208. Its totient is φ = 7991722362240.

The previous prime is 11111200211101. The next prime is 11111200211129.

11111200211111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11111200211111 - 2¹⁴ = 11111200194727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111200211101) 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 31 ways as a sum of consecutive naturals, for example, 23836205 + ... + 24297881.

It is an arithmetic number, because the mean of its divisors is an integer number (466224604944).

Almost surely, 2^{11111200211111} is an apocalyptic number.

11111200211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11111200211111 is a deficient number, since it is larger than the sum of its proper divisors (3807987147097).

11111200211111 is a wasteful number, since it uses less digits than its factorization.

11111200211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485751.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 11111200 and 211111, that added together give a palindrome (11322311).

The spelling of 11111200211111 in words is "eleven trillion, one hundred eleven billion, two hundred million, two hundred eleven thousand, one hundred eleven".