123118128 has 120 divisors (see below), whose sum is σ = 399879168. Its totient is φ = 34632576.

The previous prime is 123118109. The next prime is 123118141. The reversal of 123118128 is 821811321.

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 23 ways as a sum of consecutive naturals, for example, 66625 + ... + 68447.

Almost surely, 2^123118128 is an apocalyptic number.

123118128 is a gapful number since it is divisible by the number (18) 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 123118128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199939584).

123118128 is an abundant number, since it is smaller than the sum of its proper divisors (276761040).

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

123118128 is a wasteful number, since it uses less digits than its factorization.

123118128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1902 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 123118128 is about 11095.8608498845. The cubic root of 123118128 is about 497.4781391537.

Adding to 123118128 its reverse (821811321), we get a palindrome (944929449).

The spelling of 123118128 in words is "one hundred twenty-three million, one hundred eighteen thousand, one hundred twenty-eight".