212424 has 32 divisors (see below), whose sum is σ = 544320. Its totient is φ = 69056.

The previous prime is 212423. The next prime is 212437. The reversal of 212424 is 424212.

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 1189 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2²¹²⁴²⁴ is an apocalyptic number.

212424 is a gapful number since it is divisible by the number (24) 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 212424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

212424 is an abundant number, since it is smaller than the sum of its proper divisors (331896).

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

212424 is a wasteful number, since it uses less digits than its factorization.

212424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its digits is 128, while the sum is 15.

The square root of 212424 is about 460.8947819188. The cubic root of 212424 is about 59.6670446522.

Adding to 212424 its reverse (424212), we get a palindrome (636636).

It can be divided in two parts, 212 and 424, that added together give a palindrome (636).

The spelling of 212424 in words is "two hundred twelve thousand, four hundred twenty-four", and thus it is an iban number.