22012133220 has 288 divisors, whose sum is σ = 85019590656. Its totient is φ = 4476499200.

The previous prime is 22012133219. The next prime is 22012133243. The reversal of 22012133220 is 2233121022.

22012133220 is a `hidden beast` number, since 220 + 121 + 3 + 322 + 0 = 666.

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 = 22012133193 and 22012133202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 634525 + ... + 668315.

It is an arithmetic number, because the mean of its divisors is an integer number (295206912).

Almost surely, 2^22012133220 is an apocalyptic number.

22012133220 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 22012133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42509795328).

22012133220 is an abundant number, since it is smaller than the sum of its proper divisors (63007457436).

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

22012133220 is a wasteful number, since it uses less digits than its factorization.

22012133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33871 (or 33866 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22012133220 its reverse (2233121022), we get a palindrome (24245254242).

The spelling of 22012133220 in words is "twenty-two billion, twelve million, one hundred thirty-three thousand, two hundred twenty".