11223333332211 has 256 divisors, whose sum is σ = 21218783330304. Its totient is φ = 5089236480000.

The previous prime is 11223333332203. The next prime is 11223333332261.

11223333332211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11223333332211 - 2³ = 11223333332203 is a prime.

It is a super-2 number, since 2×11223333332211² (a number of 27 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11223333332261) 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 255 ways as a sum of consecutive naturals, for example, 1234549776 + ... + 1234558866.

It is an arithmetic number, because the mean of its divisors is an integer number (82885872384).

Almost surely, 2^{11223333332211} is an apocalyptic number.

11223333332211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11223333332211 is a deficient number, since it is larger than the sum of its proper divisors (9995449998093).

11223333332211 is a wasteful number, since it uses less digits than its factorization.

11223333332211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9474.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 1122333 and 3332211, that added together give a palindrome (4454544).

The spelling of 11223333332211 in words is "eleven trillion, two hundred twenty-three billion, three hundred thirty-three million, three hundred thirty-two thousand, two hundred eleven".