211420213220 has 48 divisors (see below), whose sum is σ = 460759970160. Its totient is φ = 81391005696.

The previous prime is 211420213211. The next prime is 211420213289. The reversal of 211420213220 is 22312024112.

211420213220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 30048142336 + 181372070884 = 173344^2 + 425878^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211420213192 and 211420213201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400757 + ... + 763836.

It is an arithmetic number, because the mean of its divisors is an integer number (9599166045).

Almost surely, 2^211420213220 is an apocalyptic number.

211420213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211420213220 is an abundant number, since it is smaller than the sum of its proper divisors (249339756940).

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

211420213220 is a wasteful number, since it uses less digits than its factorization.

211420213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164944 (or 1164942 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211420213220 its reverse (22312024112), we get a palindrome (233732237332).

The spelling of 211420213220 in words is "two hundred eleven billion, four hundred twenty million, two hundred thirteen thousand, two hundred twenty".