220022100122220 has 216 divisors, whose sum is σ = 738261388689552. Its totient is φ = 52998953230080.

The previous prime is 220022100122207. The next prime is 220022100122221. The reversal of 220022100122220 is 22221001220022.

220022100122220 is a `hidden beast` number, since 2 + 200 + 22 + 100 + 122 + 220 = 666.

It is a super-3 number, since 3×220022100122220³ (a number of 44 digits) contains 333 as substring.

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 = 220022100122193 and 220022100122202.

It is not an unprimeable number, because it can be changed into a prime (220022100122221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28752594 + ... + 35591513.

Almost surely, 2^{220022100122220} is an apocalyptic number.

220022100122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220022100122220 is an abundant number, since it is smaller than the sum of its proper divisors (518239288567332).

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

220022100122220 is a wasteful number, since it uses less digits than its factorization.

220022100122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64344301 (or 64344285 counting only the distinct ones).

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

Adding to 220022100122220 its reverse (22221001220022), we get a palindrome (242243101342242).

The spelling of 220022100122220 in words is "two hundred twenty trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, two hundred twenty".