22120222320 has 240 divisors, whose sum is σ = 85725798912. Its totient is φ = 5006845440.

The previous prime is 22120222211. The next prime is 22120222321. The reversal of 22120222320 is 2322202122.

22120222320 is a `hidden beast` number, since 2 + 2 + 120 + 222 + 320 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22120222293 and 22120222302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120222321) 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, 497815 + ... + 540425.

Almost surely, 2^22120222320 is an apocalyptic number.

22120222320 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 22120222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42862899456).

22120222320 is an abundant number, since it is smaller than the sum of its proper divisors (63605576592).

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

22120222320 is a wasteful number, since it uses less digits than its factorization.

22120222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42740 (or 42731 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22120222320 its reverse (2322202122), we get a palindrome (24442424442).

The spelling of 22120222320 in words is "twenty-two billion, one hundred twenty million, two hundred twenty-two thousand, three hundred twenty".