122321144 has 32 divisors (see below), whose sum is σ = 252437040. Its totient is φ = 55104000.

The previous prime is 122321123. The next prime is 122321179. The reversal of 122321144 is 441123221.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3794 + ... + 16094.

Almost surely, 2^122321144 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 122321144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126218520).

122321144 is an abundant number, since it is smaller than the sum of its proper divisors (130115896).

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

122321144 is a wasteful number, since it uses less digits than its factorization.

122321144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12431 (or 12427 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 122321144 is about 11059.8889687013. Note that the first 3 decimals coincide. The cubic root of 122321144 is about 496.4023681758.

Adding to 122321144 its reverse (441123221), we get a palindrome (563444365).

The spelling of 122321144 in words is "one hundred twenty-two million, three hundred twenty-one thousand, one hundred forty-four".