22182189120 has 896 divisors, whose sum is σ = 97701811200. Its totient is φ = 4613013504.

The previous prime is 22182189119. The next prime is 22182189131. The reversal of 22182189120 is 2198128122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69975202 + ... + 69975518.

It is an arithmetic number, because the mean of its divisors is an integer number (109042200).

Almost surely, 2^22182189120 is an apocalyptic number.

22182189120 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 22182189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48850905600).

22182189120 is an abundant number, since it is smaller than the sum of its proper divisors (75519622080).

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

22182189120 is a wasteful number, since it uses less digits than its factorization.

22182189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 22182189120 in words is "twenty-two billion, one hundred eighty-two million, one hundred eighty-nine thousand, one hundred twenty".