123712144 has 40 divisors (see below), whose sum is σ = 252216000. Its totient is φ = 58697856.

The previous prime is 123712139. The next prime is 123712157. The reversal of 123712144 is 441217321.

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, 25117 + ... + 29635.

It is an arithmetic number, because the mean of its divisors is an integer number (6305400).

Almost surely, 2^123712144 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 123712144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126108000).

123712144 is an abundant number, since it is smaller than the sum of its proper divisors (128503856).

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

123712144 is a wasteful number, since it uses less digits than its factorization.

123712144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4609 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 123712144 is about 11122.5960998321. The cubic root of 123712144 is about 498.2769275302.

Adding to 123712144 its reverse (441217321), we get a palindrome (564929465).

The spelling of 123712144 in words is "one hundred twenty-three million, seven hundred twelve thousand, one hundred forty-four".