22132111320 has 192 divisors, whose sum is σ = 78909292800. Its totient is φ = 5335215360.

The previous prime is 22132111319. The next prime is 22132111321. The reversal of 22132111320 is 2311123122.

22132111320 is a `hidden beast` number, since 2 + 21 + 321 + 1 + 1 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (22132111319) and next prime (22132111321).

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 = 22132111293 and 22132111302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132111321) 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, 693229 + ... + 724451.

It is an arithmetic number, because the mean of its divisors is an integer number (410985900).

Almost surely, 2^22132111320 is an apocalyptic number.

22132111320 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 22132111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39454646400).

22132111320 is an abundant number, since it is smaller than the sum of its proper divisors (56777181480).

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

22132111320 is a wasteful number, since it uses less digits than its factorization.

22132111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31430 (or 31423 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22132111320 its reverse (2311123122), we get a palindrome (24443234442).

The spelling of 22132111320 in words is "twenty-two billion, one hundred thirty-two million, one hundred eleven thousand, three hundred twenty".