212424212 has 162 divisors, whose sum is σ = 524408094. Its totient is φ = 74954880.

The previous prime is 212424203. The next prime is 212424227.

212424212 is nontrivially palindromic in base 10.

212424212 is digitally balanced in base 3, 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 3 ways, for example, as 2869636 + 209554576 = 1694^2 + 14476^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4007978 + ... + 4008030.

It is an arithmetic number, because the mean of its divisors is an integer number (3237087).

Almost surely, 2^212424212 is an apocalyptic number.

212424212 is a gapful number since it is divisible by the number (22) 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 212424212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262204047).

212424212 is an abundant number, since it is smaller than the sum of its proper divisors (311983882).

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

212424212 is a wasteful number, since it uses less digits than its factorization.

212424212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 212424212 is about 14574.7799983396. The cubic root of 212424212 is about 596.6706450151.

It can be divided in two parts, 212 and 424212, that added together give a palindrome (424424).

The spelling of 212424212 in words is "two hundred twelve million, four hundred twenty-four thousand, two hundred twelve".