212142424 has 64 divisors (see below), whose sum is σ = 457632000. Its totient is φ = 91445760.

The previous prime is 212142377. The next prime is 212142457. The reversal of 212142424 is 424241212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212142395 and 212142404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92362 + ... + 94630.

It is an arithmetic number, because the mean of its divisors is an integer number (7150500).

Almost surely, 2^212142424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228816000).

212142424 is an abundant number, since it is smaller than the sum of its proper divisors (245489576).

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

212142424 is a wasteful number, since it uses less digits than its factorization.

212142424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2344 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 212142424 is about 14565.1098176430. The cubic root of 212142424 is about 596.4066935781.

Adding to 212142424 its reverse (424241212), we get a palindrome (636383636).

The spelling of 212142424 in words is "two hundred twelve million, one hundred forty-two thousand, four hundred twenty-four".