212440412016 has 400 divisors, whose sum is σ = 716867593728. Its totient is φ = 59486400000.

The previous prime is 212440412011. The next prime is 212440412017. The reversal of 212440412016 is 610214044212.

212440412016 is a `hidden beast` number, since 2 + 1 + 244 + 0 + 412 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212440412011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94374891 + ... + 94377141.

Almost surely, 2^212440412016 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 212440412016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358433796864).

212440412016 is an abundant number, since it is smaller than the sum of its proper divisors (504427181712).

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

212440412016 is a wasteful number, since it uses less digits than its factorization.

212440412016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 212440412016 its reverse (610214044212), we get a palindrome (822654456228).

The spelling of 212440412016 in words is "two hundred twelve billion, four hundred forty million, four hundred twelve thousand, sixteen".