122272 has 12 divisors (see below), whose sum is σ = 240786. Its totient is φ = 61120.

The previous prime is 122267. The next prime is 122273. The reversal of 122272 is 272221.

It can be written as a sum of positive squares in only one way, i.e., 80656 + 41616 = 284^2 + 204^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (122273) by changing a digit.

122272 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 as a sum of consecutive naturals, namely, 1879 + ... + 1942.

2¹²²²⁷² is an apocalyptic number.

It is an amenable number.

122272 is a deficient number, since it is larger than the sum of its proper divisors (118514).

122272 is an equidigital number, since it uses as much as digits as its factorization.

122272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3823 counting only the distinct ones).

The product of its digits is 112, while the sum is 16.

The square root of 122272 is about 349.6741340162. The cubic root of 122272 is about 49.6335880718.

Adding to 122272 its reverse (272221), we get a palindrome (394493).

The spelling of 122272 in words is "one hundred twenty-two thousand, two hundred seventy-two", and thus it is an iban number.