22211111121144 has 128 divisors (see below), whose sum is σ = 63220956986880. Its totient is φ = 6436834905600.

The previous prime is 22211111121131. The next prime is 22211111121193. The reversal of 22211111121144 is 44112111111222.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33412974 + ... + 34071234.

It is an arithmetic number, because the mean of its divisors is an integer number (493913726460).

Almost surely, 2^{22211111121144} is an apocalyptic number.

22211111121144 is a gapful number since it is divisible by the number (24) 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 22211111121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610478493440).

22211111121144 is an abundant number, since it is smaller than the sum of its proper divisors (41009845865736).

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

22211111121144 is a wasteful number, since it uses less digits than its factorization.

22211111121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663861 (or 663857 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

Adding to 22211111121144 its reverse (44112111111222), we get a palindrome (66323222232366).

The spelling of 22211111121144 in words is "twenty-two trillion, two hundred eleven billion, one hundred eleven million, one hundred twenty-one thousand, one hundred forty-four".