123112144 has 40 divisors (see below), whose sum is σ = 242785800. Its totient is φ = 60469248.

The previous prime is 123112103. The next prime is 123112151. The reversal of 123112144 is 441211321.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 122766400 = 588^2 + 11080^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269164 + ... + 269620.

It is an arithmetic number, because the mean of its divisors is an integer number (6069645).

Almost surely, 2^123112144 is an apocalyptic number.

It is an amenable number.

123112144 is a deficient number, since it is larger than the sum of its proper divisors (119673656).

123112144 is a wasteful number, since it uses less digits than its factorization.

123112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 123112144 is about 11095.5911965068. The cubic root of 123112144 is about 497.4700792591.

Adding to 123112144 its reverse (441211321), we get a palindrome (564323465).

It can be divided in two parts, 123112 and 144, that added together give a triangular number (123256 = T₄₉₆).

The spelling of 123112144 in words is "one hundred twenty-three million, one hundred twelve thousand, one hundred forty-four".