122262 has 32 divisors (see below), whose sum is σ = 290304. Its totient is φ = 33600.

The previous prime is 122251. The next prime is 122263. The reversal of 122262 is 262221.

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

It is a congruent number.

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

122262 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1687 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2¹²²²⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

122262 is an abundant number, since it is smaller than the sum of its proper divisors (168042).

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

122262 is a wasteful number, since it uses less digits than its factorization.

122262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its digits is 96, while the sum is 15.

The square root of 122262 is about 349.6598346965. The cubic root of 122262 is about 49.6322349427.

Adding to 122262 its reverse (262221), we get a palindrome (384483).

The spelling of 122262 in words is "one hundred twenty-two thousand, two hundred sixty-two".