22020412320 has 144 divisors (see below), whose sum is σ = 75919825800. Its totient is φ = 5811535872.

The previous prime is 22020412319. The next prime is 22020412321. The reversal of 22020412320 is 2321402022.

22020412320 is a `hidden beast` number, since 220 + 2 + 0 + 412 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22020412319) and next prime (22020412321).

It can be written as a sum of positive squares in 4 ways, for example, as 14495196816 + 7525215504 = 120396^2 + 86748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 22020412293 and 22020412302.

It is not an unprimeable number, because it can be changed into a prime (22020412321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60856 + ... + 218504.

Almost surely, 2^22020412320 is an apocalyptic number.

22020412320 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 22020412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37959912900).

22020412320 is an abundant number, since it is smaller than the sum of its proper divisors (53899413480).

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

22020412320 is a wasteful number, since it uses less digits than its factorization.

22020412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157767 (or 157756 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22020412320 its reverse (2321402022), we get a palindrome (24341814342).

The spelling of 22020412320 in words is "twenty-two billion, twenty million, four hundred twelve thousand, three hundred twenty".