22144112311120 has 40 divisors (see below), whose sum is σ = 51957401154120. Its totient is φ = 8776382123520.

The previous prime is 22144112311109. The next prime is 22144112311157. The reversal of 22144112311120 is 2111321144122.

It can be written as a sum of positive squares in 4 ways, for example, as 8953356590656 + 13190755720464 = 2992216^2 + 3631908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 1269722491 + ... + 1269739930.

It is an arithmetic number, because the mean of its divisors is an integer number (1298935028853).

Almost surely, 2^{22144112311120} is an apocalyptic number.

22144112311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22144112311120 is an abundant number, since it is smaller than the sum of its proper divisors (29813288843000).

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

22144112311120 is a wasteful number, since it uses less digits than its factorization.

22144112311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539462543 (or 2539462537 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 22144112311120 its reverse (2111321144122), we get a palindrome (24255433455242).

The spelling of 22144112311120 in words is "twenty-two trillion, one hundred forty-four billion, one hundred twelve million, three hundred eleven thousand, one hundred twenty".