123088128 has 72 divisors (see below), whose sum is σ = 329312928. Its totient is φ = 40814592.

The previous prime is 123088123. The next prime is 123088129. The reversal of 123088128 is 821880321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123088123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224751 + ... + 225297.

Almost surely, 2^123088128 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 123088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656464).

123088128 is an abundant number, since it is smaller than the sum of its proper divisors (206224800).

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

123088128 is an equidigital number, since it uses as much as digits as its factorization.

123088128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 123088128 is about 11094.5089120700. The cubic root of 123088128 is about 497.4377293003.

The spelling of 123088128 in words is "one hundred twenty-three million, eighty-eight thousand, one hundred twenty-eight".