11440131122211 has 32 divisors (see below), whose sum is σ = 16914329127936. Its totient is φ = 6819206592000.

The previous prime is 11440131122179. The next prime is 11440131122239. The reversal of 11440131122211 is 11222113104411.

It is not a de Polignac number, because 11440131122211 - 2⁵ = 11440131122179 is a prime.

It is a super-3 number, since 3×11440131122211³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11440131122311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25769755 + ... + 26209931.

It is an arithmetic number, because the mean of its divisors is an integer number (528572785248).

Almost surely, 2^{11440131122211} is an apocalyptic number.

11440131122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11440131122211 is a deficient number, since it is larger than the sum of its proper divisors (5474198005725).

11440131122211 is a wasteful number, since it uses less digits than its factorization.

11440131122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453163.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 11440131122211 its reverse (11222113104411), we get a palindrome (22662244226622).

The spelling of 11440131122211 in words is "eleven trillion, four hundred forty billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred eleven".