22011322320 has 400 divisors, whose sum is σ = 84350507472. Its totient is φ = 5285191680.

The previous prime is 22011322273. The next prime is 22011322327. The reversal of 22011322320 is 2322311022.

22011322320 is a `hidden beast` number, since 2 + 20 + 1 + 1 + 322 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2881112976 + 19130209344 = 53676^2 + 138312^2 .

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 = 22011322293 and 22011322302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011322327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3450654 + ... + 3457026.

Almost surely, 2^22011322320 is an apocalyptic number.

22011322320 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 22011322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42175253736).

22011322320 is an abundant number, since it is smaller than the sum of its proper divisors (62339185152).

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

22011322320 is a wasteful number, since it uses less digits than its factorization.

22011322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6437 counting only the distinct ones).

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

Adding to 22011322320 its reverse (2322311022), we get a palindrome (24333633342).

The spelling of 22011322320 in words is "twenty-two billion, eleven million, three hundred twenty-two thousand, three hundred twenty".