212442160 has 80 divisors (see below), whose sum is σ = 579802176. Its totient is φ = 70861824.

The previous prime is 212442151. The next prime is 212442161. The reversal of 212442160 is 61244212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (212442161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15594 + ... + 25846.

Almost surely, 2^212442160 is an apocalyptic number.

212442160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289901088).

212442160 is an abundant number, since it is smaller than the sum of its proper divisors (367360016).

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

212442160 is a wasteful number, since it uses less digits than its factorization.

212442160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10310 (or 10304 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 212442160 is about 14575.3957064637. The cubic root of 212442160 is about 596.6874490367.

Adding to 212442160 its reverse (61244212), we get a palindrome (273686372).

The spelling of 212442160 in words is "two hundred twelve million, four hundred forty-two thousand, one hundred sixty".