122292 has 36 divisors (see below), whose sum is σ = 320320. Its totient is φ = 39312.

The previous prime is 122279. The next prime is 122299. The reversal of 122292 is 292221.

It is a tau number, because it is divible by the number of its divisors (36).

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

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 (122299) by changing a digit.

122292 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 11 ways as a sum of consecutive naturals, for example, 1509 + ... + 1587.

2¹²²²⁹² is an apocalyptic number.

122292 is a gapful number since it is divisible by the number (12) 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 122292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160160).

122292 is an abundant number, since it is smaller than the sum of its proper divisors (198028).

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

122292 is a wasteful number, since it uses less digits than its factorization.

122292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 127 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 122292 is about 349.7027309015. The cubic root of 122292 is about 49.6362941087.

It can be divided in two parts, 122 and 292, that added together give a palindrome (414).

The spelling of 122292 in words is "one hundred twenty-two thousand, two hundred ninety-two".