211420220220 has 144 divisors (see below), whose sum is σ = 700825009248. Its totient is φ = 51164282880.

The previous prime is 211420220213. The next prime is 211420220237. The reversal of 211420220220 is 22022024112.

211420220220 is a `hidden beast` number, since 2 + 1 + 1 + 420 + 2 + 20 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

211420220220 is a modest number, since divided by 220220 gives 211420 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 211420220193 and 211420220202.

It is a congruent number.

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, 1049932 + ... + 1234988.

It is an arithmetic number, because the mean of its divisors is an integer number (4866840342).

Almost surely, 2^211420220220 is an apocalyptic number.

211420220220 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 211420220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350412504624).

211420220220 is an abundant number, since it is smaller than the sum of its proper divisors (489404789028).

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

211420220220 is a wasteful number, since it uses less digits than its factorization.

211420220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185660 (or 185655 counting only the distinct ones).

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

Adding to 211420220220 its reverse (22022024112), we get a palindrome (233442244332).

It can be divided in two parts, 21 and 1420220220, that added together give a palindrome (1420220241).

The spelling of 211420220220 in words is "two hundred eleven billion, four hundred twenty million, two hundred twenty thousand, two hundred twenty".