22221231011424 has 144 divisors (see below), whose sum is σ = 63787374089712. Its totient is φ = 7337320833024.

The previous prime is 22221231011407. The next prime is 22221231011429. The reversal of 22221231011424 is 42411013212222.

22221231011424 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 1 + 231 + 0 + 1 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221231011429) 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 23 ways as a sum of consecutive naturals, for example, 56854879 + ... + 57244385.

It is an arithmetic number, because the mean of its divisors is an integer number (442967875623).

Almost surely, 2^{22221231011424} is an apocalyptic number.

22221231011424 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 22221231011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31893687044856).

22221231011424 is an abundant number, since it is smaller than the sum of its proper divisors (41566143078288).

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

22221231011424 is a wasteful number, since it uses less digits than its factorization.

22221231011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391389 (or 391378 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 22221231011424 its reverse (42411013212222), we get a palindrome (64632244223646).

The spelling of 22221231011424 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred thirty-one million, eleven thousand, four hundred twenty-four".