123126128 has 20 divisors (see below), whose sum is σ = 238890960. Its totient is φ = 61476864.

The previous prime is 123126067. The next prime is 123126149. The reversal of 123126128 is 821621321.

It is a junction number, because it is equal to n+sod(n) for n = 123126097 and 123126106.

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 3 ways as a sum of consecutive naturals, for example, 7301 + ... + 17307.

It is an arithmetic number, because the mean of its divisors is an integer number (11944548).

Almost surely, 2^123126128 is an apocalyptic number.

It is an amenable number.

123126128 is a deficient number, since it is larger than the sum of its proper divisors (115764832).

123126128 is a wasteful number, since it uses less digits than its factorization.

123126128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784 (or 10778 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 123126128 is about 11096.2213388162. The cubic root of 123126128 is about 497.4889140060.

Adding to 123126128 its reverse (821621321), we get a palindrome (944747449).

The spelling of 123126128 in words is "one hundred twenty-three million, one hundred twenty-six thousand, one hundred twenty-eight".