11223122132211 has 64 divisors (see below), whose sum is σ = 16562547657216. Its totient is φ = 6703386624000.

The previous prime is 11223122132143. The next prime is 11223122132213.

11223122132211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11223122132211 - 2¹⁷ = 11223122001139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11223122132213) 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 63 ways as a sum of consecutive naturals, for example, 1393653261 + ... + 1393661313.

It is an arithmetic number, because the mean of its divisors is an integer number (258789807144).

Almost surely, 2^{11223122132211} is an apocalyptic number.

11223122132211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11223122132211 is a deficient number, since it is larger than the sum of its proper divisors (5339425525005).

11223122132211 is a wasteful number, since it uses less digits than its factorization.

11223122132211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 1122312 and 2132211, that added together give a palindrome (3254523).

The spelling of 11223122132211 in words is "eleven trillion, two hundred twenty-three billion, one hundred twenty-two million, one hundred thirty-two thousand, two hundred eleven".