123133104 has 60 divisors (see below), whose sum is σ = 347366656. Its totient is φ = 40715136.

The previous prime is 123133093. The next prime is 123133117. The reversal of 123133104 is 401331321.

It is a super-2 number, since 2×123133104² = 30323522601349632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14922 + ... + 21654.

Almost surely, 2^123133104 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 123133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173683328).

123133104 is an abundant number, since it is smaller than the sum of its proper divisors (224233552).

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

123133104 is a wasteful number, since it uses less digits than its factorization.

123133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6865 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 123133104 is about 11096.5356756061. The cubic root of 123133104 is about 497.4983092962.

Adding to 123133104 its reverse (401331321), we get a palindrome (524464425).

The spelling of 123133104 in words is "one hundred twenty-three million, one hundred thirty-three thousand, one hundred four".