212420 has 48 divisors (see below), whose sum is σ = 517440. Its totient is φ = 72576.

The previous prime is 212419. The next prime is 212423. The reversal of 212420 is 24212.

212420 = 22² + 23² + ... + 86².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4919 + ... + 4961.

It is an arithmetic number, because the mean of its divisors is an integer number (10780).

2²¹²⁴²⁰ is an apocalyptic number.

212420 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 212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258720).

212420 is an abundant number, since it is smaller than the sum of its proper divisors (305020).

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

212420 is a wasteful number, since it uses less digits than its factorization.

212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 212420 is about 460.8904425132. The cubic root of 212420 is about 59.6666701344. Note that the first 4 decimals are identical.

Adding to 212420 its reverse (24212), we get a palindrome (236632).

The spelling of 212420 in words is "two hundred twelve thousand, four hundred twenty", and thus it is an iban number.