212828112 has 120 divisors (see below), whose sum is σ = 684777600. Its totient is φ = 60445440.

The previous prime is 212828093. The next prime is 212828123. The reversal of 212828112 is 211828212.

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 23 ways as a sum of consecutive naturals, for example, 200062 + ... + 201122.

It is an arithmetic number, because the mean of its divisors is an integer number (5706480).

Almost surely, 2^212828112 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 212828112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342388800).

212828112 is an abundant number, since it is smaller than the sum of its proper divisors (471949488).

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

212828112 is a wasteful number, since it uses less digits than its factorization.

212828112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1272 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 212828112 is about 14588.6295449573. The cubic root of 212828112 is about 597.0485722624.

The spelling of 212828112 in words is "two hundred twelve million, eight hundred twenty-eight thousand, one hundred twelve".