212404242312 has 192 divisors, whose sum is σ = 626016268800. Its totient is φ = 64813271040.

The previous prime is 212404242287. The next prime is 212404242317. The reversal of 212404242312 is 213242404212.

It is a happy number.

212404242312 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 0 + 424 + 231 + 2 = 666.

It is a super-2 number, since 2×212404242312² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212404242317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31081648 + ... + 31088480.

It is an arithmetic number, because the mean of its divisors is an integer number (3260501400).

Almost surely, 2^212404242312 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 212404242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313008134400).

212404242312 is an abundant number, since it is smaller than the sum of its proper divisors (413612026488).

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

212404242312 is a wasteful number, since it uses less digits than its factorization.

212404242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 212404242312 its reverse (213242404212), we get a palindrome (425646646524).

The spelling of 212404242312 in words is "two hundred twelve billion, four hundred four million, two hundred forty-two thousand, three hundred twelve".