212085216 has 120 divisors (see below), whose sum is σ = 712902960. Its totient is φ = 60590592.

The previous prime is 212085151. The next prime is 212085233. The reversal of 212085216 is 612580212.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212085216.

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 19 ways as a sum of consecutive naturals, for example, 12300 + ... + 23988.

It is an arithmetic number, because the mean of its divisors is an integer number (5940858).

Almost surely, 2^212085216 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 212085216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356451480).

212085216 is an abundant number, since it is smaller than the sum of its proper divisors (500817744).

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

212085216 is a wasteful number, since it uses less digits than its factorization.

212085216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11718 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 212085216 is about 14563.1458140060. The cubic root of 212085216 is about 596.3530781800.

The spelling of 212085216 in words is "two hundred twelve million, eighty-five thousand, two hundred sixteen".