220311221220 has 504 divisors, whose sum is σ = 726101628840. Its totient is φ = 56111616000.

The previous prime is 220311221219. The next prime is 220311221231. The reversal of 220311221220 is 22122113022.

220311221220 is a `hidden beast` number, since 220 + 3 + 1 + 1 + 221 + 220 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 135312151104 + 84999070116 = 367848^2 + 291546^2 .

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 = 220311221193 and 220311221202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2181299170 + ... + 2181299270.

It is an arithmetic number, because the mean of its divisors is an integer number (1440677835).

Almost surely, 2^220311221220 is an apocalyptic number.

220311221220 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 220311221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363050814420).

220311221220 is an abundant number, since it is smaller than the sum of its proper divisors (505790407620).

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

220311221220 is a wasteful number, since it uses less digits than its factorization.

220311221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220311221220 its reverse (22122113022), we get a palindrome (242433334242).

The spelling of 220311221220 in words is "two hundred twenty billion, three hundred eleven million, two hundred twenty-one thousand, two hundred twenty".