220212020210220 has 576 divisors, whose sum is σ = 717305159450880. Its totient is φ = 54490020249600.

The previous prime is 220212020210183. The next prime is 220212020210279. The reversal of 220212020210220 is 22012020212022.

220212020210220 is a `hidden beast` number, since 2 + 2 + 0 + 212 + 0 + 20 + 210 + 220 = 666.

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 = 220212020210193 and 220212020210202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75700246126 + ... + 75700249034.

It is an arithmetic number, because the mean of its divisors is an integer number (1245321457380).

Almost surely, 2^{220212020210220} is an apocalyptic number.

220212020210220 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 220212020210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358652579725440).

220212020210220 is an abundant number, since it is smaller than the sum of its proper divisors (497093139240660).

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

220212020210220 is a wasteful number, since it uses less digits than its factorization.

220212020210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4021 counting only the distinct ones).

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

Adding to 220212020210220 its reverse (22012020212022), we get a palindrome (242224040422242).

The spelling of 220212020210220 in words is "two hundred twenty trillion, two hundred twelve billion, twenty million, two hundred ten thousand, two hundred twenty".