220221222120 has 160 divisors (see below), whose sum is σ = 758241819720. Its totient is φ = 57293291520.

The previous prime is 220221222113. The next prime is 220221222167. The reversal of 220221222120 is 21222122022.

220221222120 is a `hidden beast` number, since 220 + 221 + 2 + 221 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101861828964 + 118359393156 = 319158^2 + 344034^2 .

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 = 220221222093 and 220221222102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 696057 + ... + 961736.

Almost surely, 2^220221222120 is an apocalyptic number.

220221222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221222120 is an abundant number, since it is smaller than the sum of its proper divisors (538020597600).

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

220221222120 is a wasteful number, since it uses less digits than its factorization.

220221222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657857 (or 1657844 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220221222120 its reverse (21222122022), we get a palindrome (241443344142).

The spelling of 220221222120 in words is "two hundred twenty billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".