22111333311222 has 128 divisors (see below), whose sum is σ = 53460340346880. Its totient is φ = 6745925721600.

The previous prime is 22111333311187. The next prime is 22111333311227. The reversal of 22111333311222 is 22211333311122.

22111333311222 is a `hidden beast` number, since 2 + 2 + 1 + 11 + 333 + 311 + 2 + 2 + 2 = 666.

It is a super-2 number, since 2×22111333311222² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111333311227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66100833 + ... + 66434499.

It is an arithmetic number, because the mean of its divisors is an integer number (417658908960).

Almost surely, 2^{22111333311222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111333311222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26730170173440).

22111333311222 is an abundant number, since it is smaller than the sum of its proper divisors (31349007035658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22111333311222 is a wasteful number, since it uses less digits than its factorization.

22111333311222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335683 (or 335677 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 22111333311222 its reverse (22211333311122), we get a palindrome (44322666622344).

It can be divided in two parts, 22111 and 333311222, that added together give a palindrome (333333333).

The spelling of 22111333311222 in words is "twenty-two trillion, one hundred eleven billion, three hundred thirty-three million, three hundred eleven thousand, two hundred twenty-two".