22130333120 has 112 divisors (see below), whose sum is σ = 60280174080. Its totient is φ = 7580734464.

The previous prime is 22130333119. The next prime is 22130333123. The reversal of 22130333120 is 2133303122.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22130333092 and 22130333101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130333123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2923901 + ... + 2931459.

It is an arithmetic number, because the mean of its divisors is an integer number (538215840).

Almost surely, 2^22130333120 is an apocalyptic number.

22130333120 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 22130333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30140087040).

22130333120 is an abundant number, since it is smaller than the sum of its proper divisors (38149840960).

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

22130333120 is a wasteful number, since it uses less digits than its factorization.

22130333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 22130333120 its reverse (2133303122), we get a palindrome (24263636242).

The spelling of 22130333120 in words is "twenty-two billion, one hundred thirty million, three hundred thirty-three thousand, one hundred twenty".