220122200210220 has 192 divisors, whose sum is σ = 853807322188800. Its totient is φ = 45739677957120.

The previous prime is 220122200210219. The next prime is 220122200210221. The reversal of 220122200210220 is 22012002221022.

220122200210220 is a `hidden beast` number, since 2 + 2 + 0 + 12 + 220 + 0 + 210 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (220122200210219) and next prime (220122200210221).

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 = 220122200210193 and 220122200210202.

It is not an unprimeable number, because it can be changed into a prime (220122200210221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2646930525 + ... + 2647013684.

It is an arithmetic number, because the mean of its divisors is an integer number (4446913136400).

Almost surely, 2^{220122200210220} is an apocalyptic number.

220122200210220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122200210220 is an abundant number, since it is smaller than the sum of its proper divisors (633685121978580).

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

220122200210220 is a wasteful number, since it uses less digits than its factorization.

220122200210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5293944245 (or 5293944237 counting only the distinct ones).

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

Adding to 220122200210220 its reverse (22012002221022), we get a palindrome (242134202431242).

The spelling of 220122200210220 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred million, two hundred ten thousand, two hundred twenty".