2212221220 has 72 divisors (see below), whose sum is σ = 5406868152. Its totient is φ = 757109760.

The previous prime is 2212221173. The next prime is 2212221241. The reversal of 2212221220 is 221222122.

It can be written as a sum of positive squares in 4 ways, for example, as 642318336 + 1569902884 = 25344^2 + 39622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2212221194 and 2212221203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14254 + ... + 68026.

It is an arithmetic number, because the mean of its divisors is an integer number (75095391).

Almost surely, 2^2212221220 is an apocalyptic number.

2212221220 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 2212221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703434076).

2212221220 is an abundant number, since it is smaller than the sum of its proper divisors (3194646932).

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

2212221220 is a wasteful number, since it uses less digits than its factorization.

2212221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53821 (or 53808 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2212221220 is about 47034.2558142467. The cubic root of 2212221220 is about 1302.9953062867.

Adding to 2212221220 its reverse (221222122), we get a palindrome (2433443342).

The spelling of 2212221220 in words is "two billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twenty".