220322012220 has 144 divisors (see below), whose sum is σ = 703665930240. Its totient is φ = 55645930368.

The previous prime is 220322012213. The next prime is 220322012221. The reversal of 220322012220 is 22210223022.

220322012220 is a `hidden beast` number, since 220 + 3 + 220 + 1 + 2 + 220 = 666.

220322012220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 220322012193 and 220322012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220322012221) 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, 21003817 + ... + 21014303.

It is an arithmetic number, because the mean of its divisors is an integer number (4886568960).

Almost surely, 2^220322012220 is an apocalyptic number.

220322012220 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 220322012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351832965120).

220322012220 is an abundant number, since it is smaller than the sum of its proper divisors (483343918020).

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

220322012220 is a wasteful number, since it uses less digits than its factorization.

220322012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16664 (or 16659 counting only the distinct ones).

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

Adding to 220322012220 its reverse (22210223022), we get a palindrome (242532235242).

The spelling of 220322012220 in words is "two hundred twenty billion, three hundred twenty-two million, twelve thousand, two hundred twenty".