212256 has 72 divisors (see below), whose sum is σ = 668304. Its totient is φ = 63360.

The previous prime is 212243. The next prime is 212281. The reversal of 212256 is 652212.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2⁴ + 1 + 2¹⁶ + 2¹⁷ + 5⁶ + 6 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3135 + ... + 3201.

It is an arithmetic number, because the mean of its divisors is an integer number (9282).

2²¹²²⁵⁶ 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 212256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334152).

212256 is an abundant number, since it is smaller than the sum of its proper divisors (456048).

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

212256 is a wasteful number, since it uses less digits than its factorization.

212256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 212256 is about 460.7124916909. The cubic root of 212256 is about 59.6513108568.

Adding to 212256 its reverse (652212), we get a palindrome (864468).

The spelling of 212256 in words is "two hundred twelve thousand, two hundred fifty-six".