22000033120 has 288 divisors, whose sum is σ = 59955269472. Its totient is φ = 7581302784.

The previous prime is 22000033109. The next prime is 22000033123. The reversal of 22000033120 is 2133000022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 22000033120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000033123) 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, 62322864 + ... + 62323216.

It is an arithmetic number, because the mean of its divisors is an integer number (208178019).

Almost surely, 2^22000033120 is an apocalyptic number.

22000033120 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 22000033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29977634736).

22000033120 is an abundant number, since it is smaller than the sum of its proper divisors (37955236352).

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

22000033120 is a wasteful number, since it uses less digits than its factorization.

22000033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 22000033120 its reverse (2133000022), we get a palindrome (24133033142).

The spelling of 22000033120 in words is "twenty-two billion, thirty-three thousand, one hundred twenty".