123344144 has 80 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 47124480.

The previous prime is 123344141. The next prime is 123344173. The reversal of 123344144 is 441443321.

It is not an unprimeable number, because it can be changed into a prime (123344141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64352 + ... + 66240.

It is an arithmetic number, because the mean of its divisors is an integer number (3796632).

Almost surely, 2^123344144 is an apocalyptic number.

123344144 is a gapful number since it is divisible by the number (14) 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 123344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

123344144 is an abundant number, since it is smaller than the sum of its proper divisors (180386416).

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

123344144 is a wasteful number, since it uses less digits than its factorization.

123344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1962 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 123344144 is about 11106.0408787290. The cubic root of 123344144 is about 497.7823707827.

Adding to 123344144 its reverse (441443321), we get a palindrome (564787465).

The spelling of 123344144 in words is "one hundred twenty-three million, three hundred forty-four thousand, one hundred forty-four".