212220122220 has 144 divisors (see below), whose sum is σ = 650392815072. Its totient is φ = 56009594880.

The previous prime is 212220122207. The next prime is 212220122267. The reversal of 212220122220 is 22221022212.

212220122220 is a `hidden beast` number, since 212 + 220 + 12 + 2 + 220 = 666.

It is a super-3 number, since 3×212220122220³ (a number of 35 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 = 212220122193 and 212220122202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7055934 + ... + 7085946.

Almost surely, 2^212220122220 is an apocalyptic number.

212220122220 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 212220122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325196407536).

212220122220 is an abundant number, since it is smaller than the sum of its proper divisors (438172692852).

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

212220122220 is a wasteful number, since it uses less digits than its factorization.

212220122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30432 (or 30427 counting only the distinct ones).

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

Adding to 212220122220 its reverse (22221022212), we get a palindrome (234441144432).

The spelling of 212220122220 in words is "two hundred twelve billion, two hundred twenty million, one hundred twenty-two thousand, two hundred twenty".