122144 has 24 divisors (see below), whose sum is σ = 263088. Its totient is φ = 55360.

The previous prime is 122131. The next prime is 122147. The reversal of 122144 is 441221.

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

It is not an unprimeable number, because it can be changed into a prime (122147) by changing a digit.

122144 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 3 ways as a sum of consecutive naturals, for example, 179 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (10962).

2¹²²¹⁴⁴ 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 122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131544).

122144 is an abundant number, since it is smaller than the sum of its proper divisors (140944).

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

122144 is a wasteful number, since it uses less digits than its factorization.

122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its digits is 64, while the sum is 14.

The square root of 122144 is about 349.4910585408. The cubic root of 122144 is about 49.6162624440.

Adding to 122144 its reverse (441221), we get a palindrome (563365).

The spelling of 122144 in words is "one hundred twenty-two thousand, one hundred forty-four", and thus it is an iban number.