122122144 has 48 divisors (see below), whose sum is σ = 249613056. Its totient is φ = 58752000.

The previous prime is 122122129. The next prime is 122122181. The reversal of 122122144 is 441221221.

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

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, 304344 + ... + 304744.

It is an arithmetic number, because the mean of its divisors is an integer number (5200272).

Almost surely, 2^122122144 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 122122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124806528).

122122144 is an abundant number, since it is smaller than the sum of its proper divisors (127490912).

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

122122144 is a wasteful number, since it uses less digits than its factorization.

122122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 741 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 122122144 is about 11050.8888330306. Note that the first 4 decimals coincide. The cubic root of 122122144 is about 496.1330288342.

Adding to 122122144 its reverse (441221221), we get a palindrome (563343365).

The spelling of 122122144 in words is "one hundred twenty-two million, one hundred twenty-two thousand, one hundred forty-four".