122268 has 24 divisors (see below), whose sum is σ = 298368. Its totient is φ = 38896.

The previous prime is 122267. The next prime is 122273. The reversal of 122268 is 862221.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (12432).

2¹²²²⁶⁸ 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 122268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149184).

122268 is an abundant number, since it is smaller than the sum of its proper divisors (176100).

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

122268 is a wasteful number, since it uses less digits than its factorization.

122268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 471 counting only the distinct ones).

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

The square root of 122268 is about 349.6684143585. The cubic root of 122268 is about 49.6330468290.

Adding to 122268 its reverse (862221), we get a palindrome (984489).

The spelling of 122268 in words is "one hundred twenty-two thousand, two hundred sixty-eight".