212841216 has 288 divisors, whose sum is σ = 741726720. Its totient is φ = 58945536.

The previous prime is 212841199. The next prime is 212841217. The reversal of 212841216 is 612148212.

It is a tau number, because it is divible by the number of its divisors (288).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 212841216.

It is not an unprimeable number, because it can be changed into a prime (212841217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2564311 + ... + 2564393.

It is an arithmetic number, because the mean of its divisors is an integer number (2575440).

Almost surely, 2^212841216 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 212841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370863360).

212841216 is an abundant number, since it is smaller than the sum of its proper divisors (528885504).

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

212841216 is an equidigital number, since it uses as much as digits as its factorization.

212841216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 212841216 is about 14589.0786549391. The cubic root of 212841216 is about 597.0608255997.

Adding to 212841216 its reverse (612148212), we get a palindrome (824989428).

It can be divided in two parts, 21284 and 1216, that added together give a square (22500 = 150²).

The spelling of 212841216 in words is "two hundred twelve million, eight hundred forty-one thousand, two hundred sixteen".