22220041013120 has 256 divisors, whose sum is σ = 54686011438080. Its totient is φ = 8628632248320.

The previous prime is 22220041013089. The next prime is 22220041013129. The reversal of 22220041013120 is 2131014002222.

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 = 22220041013092 and 22220041013101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220041013129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3285526859 + ... + 3285533621.

It is an arithmetic number, because the mean of its divisors is an integer number (213617232180).

Almost surely, 2^{22220041013120} is an apocalyptic number.

22220041013120 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 22220041013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27343005719040).

22220041013120 is an abundant number, since it is smaller than the sum of its proper divisors (32465970424960).

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

22220041013120 is a wasteful number, since it uses less digits than its factorization.

22220041013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7533 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22220041013120 its reverse (2131014002222), we get a palindrome (24351055015342).

The spelling of 22220041013120 in words is "twenty-two trillion, two hundred twenty billion, forty-one million, thirteen thousand, one hundred twenty".