211213420 has 96 divisors (see below), whose sum is σ = 502951680. Its totient is φ = 73839360.

The previous prime is 211213397. The next prime is 211213421. The reversal of 211213420 is 24312112.

211213420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211213420² = 89222217576192800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211213394 and 211213403.

It is not an unprimeable number, because it can be changed into a prime (211213421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785046 + ... + 785314.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2^211213420 is an apocalyptic number.

211213420 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 211213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251475840).

211213420 is an abundant number, since it is smaller than the sum of its proper divisors (291738260).

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

211213420 is a wasteful number, since it uses less digits than its factorization.

211213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 211213420 is about 14533.1834090126. The cubic root of 211213420 is about 595.5348344059.

Adding to 211213420 its reverse (24312112), we get a palindrome (235525532).

The spelling of 211213420 in words is "two hundred eleven million, two hundred thirteen thousand, four hundred twenty".