212298912 has 288 divisors, whose sum is σ = 738017280. Its totient is φ = 56609280.

The previous prime is 212298883. The next prime is 212298923. The reversal of 212298912 is 219892212.

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 (36).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2687289 + ... + 2687367.

It is an arithmetic number, because the mean of its divisors is an integer number (2562560).

Almost surely, 2^212298912 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 212298912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369008640).

212298912 is an abundant number, since it is smaller than the sum of its proper divisors (525718368).

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

212298912 is a wasteful number, since it uses less digits than its factorization.

212298912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 212298912 is about 14570.4808431294. The cubic root of 212298912 is about 596.5533050695.

The spelling of 212298912 in words is "two hundred twelve million, two hundred ninety-eight thousand, nine hundred twelve".