212268 has 54 divisors (see below), whose sum is σ = 608076. Its totient is φ = 57456.

The previous prime is 212243. The next prime is 212281. The reversal of 212268 is 862212.

212268 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

212268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11163 + ... + 11181.

2²¹²²⁶⁸ is an apocalyptic number.

212268 is a gapful number since it is divisible by the number (28) 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 212268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304038).

212268 is an abundant number, since it is smaller than the sum of its proper divisors (395808).

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

212268 is a wasteful number, since it uses less digits than its factorization.

212268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 31 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 212268 is about 460.7255148133. The cubic root of 212268 is about 59.6524349746.

The spelling of 212268 in words is "two hundred twelve thousand, two hundred sixty-eight".