11111444222112 has 288 divisors, whose sum is σ = 34923659779008. Its totient is φ = 3329471029248.

The previous prime is 11111444222101. The next prime is 11111444222113. The reversal of 11111444222112 is 21122244411111.

11111444222112 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 1 + 4 + 442 + 2 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11111444222112² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11111444222113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54151903 + ... + 54356705.

It is an arithmetic number, because the mean of its divisors is an integer number (121262707566).

Almost surely, 2^{11111444222112} is an apocalyptic number.

11111444222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111444222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17461829889504).

11111444222112 is an abundant number, since it is smaller than the sum of its proper divisors (23812215556896).

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

11111444222112 is a wasteful number, since it uses less digits than its factorization.

11111444222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205212 (or 205201 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

Adding to 11111444222112 its reverse (21122244411111), we get a palindrome (32233688633223).

The spelling of 11111444222112 in words is "eleven trillion, one hundred eleven billion, four hundred forty-four million, two hundred twenty-two thousand, one hundred twelve".