11222122122211 has 64 divisors (see below), whose sum is σ = 15294721720320. Its totient is φ = 7950148652160.

The previous prime is 11222122122209. The next prime is 11222122122247.

11222122122211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11222122122211 - 2¹ = 11222122122209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11222122122811) 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, 812778070 + ... + 812791876.

It is an arithmetic number, because the mean of its divisors is an integer number (238980026880).

Almost surely, 2^{11222122122211} is an apocalyptic number.

11222122122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11222122122211 is a deficient number, since it is larger than the sum of its proper divisors (4072599598109).

11222122122211 is a wasteful number, since it uses less digits than its factorization.

11222122122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26024.

The product of its digits is 256, while the sum is 22.

Multiplying 11222122122211 by its sum of digits (22), we get a palindrome (246886686688642).

It can be divided in two parts, 1122212 and 2122211, that added together give a palindrome (3244423).

The spelling of 11222122122211 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred eleven".