22124113222320 has 240 divisors, whose sum is σ = 74730448945152. Its totient is φ = 5865629852160.

The previous prime is 22124113222279. The next prime is 22124113222363. The reversal of 22124113222320 is 2322231142122.

22124113222320 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 4 + 11 + 322 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 253955889 + ... + 254042991.

Almost surely, 2^{22124113222320} is an apocalyptic number.

22124113222320 is a gapful number since it is divisible by the number (20) 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 22124113222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37365224472576).

22124113222320 is an abundant number, since it is smaller than the sum of its proper divisors (52606335722832).

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

22124113222320 is a wasteful number, since it uses less digits than its factorization.

22124113222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89160 (or 89151 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22124113222320 its reverse (2322231142122), we get a palindrome (24446344364442).

The spelling of 22124113222320 in words is "twenty-two trillion, one hundred twenty-four billion, one hundred thirteen million, two hundred twenty-two thousand, three hundred twenty".