11221433412211 has 32 divisors (see below), whose sum is σ = 12474694656000. Its totient is φ = 10009171920000.

The previous prime is 11221433412191. The next prime is 11221433412253.

11221433412211 is nontrivially palindromic in base 10.

11221433412211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-11221433412211 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11221433412211.

It is not an unprimeable number, because it can be changed into a prime (11221433410211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71268670 + ... + 71425948.

It is an arithmetic number, because the mean of its divisors is an integer number (389834208000).

Almost surely, 2^{11221433412211} is an apocalyptic number.

11221433412211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11221433412211 is a deficient number, since it is larger than the sum of its proper divisors (1253261243789).

11221433412211 is a wasteful number, since it uses less digits than its factorization.

11221433412211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157971.

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 1122143 and 3412211, that added together give a palindrome (4534354).

The spelling of 11221433412211 in words is "eleven trillion, two hundred twenty-one billion, four hundred thirty-three million, four hundred twelve thousand, two hundred eleven".