123325128 has 48 divisors (see below), whose sum is σ = 336660480. Its totient is φ = 40781664.

The previous prime is 123325087. The next prime is 123325183. The reversal of 123325128 is 821523321.

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, 2401 + ... + 15887.

It is an arithmetic number, because the mean of its divisors is an integer number (7013760).

Almost surely, 2^123325128 is an apocalyptic number.

123325128 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 123325128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168330240).

123325128 is an abundant number, since it is smaller than the sum of its proper divisors (213335352).

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

123325128 is a wasteful number, since it uses less digits than its factorization.

123325128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13626 (or 13619 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 123325128 is about 11105.1847350686. The cubic root of 123325128 is about 497.7567883871.

Adding to 123325128 its reverse (821523321), we get a palindrome (944848449).

The spelling of 123325128 in words is "one hundred twenty-three million, three hundred twenty-five thousand, one hundred twenty-eight".