123088500 has 144 divisors (see below), whose sum is σ = 411400080. Its totient is φ = 30873600.

The previous prime is 123088487. The next prime is 123088523. The reversal of 123088500 is 5880321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2396304 + 120692196 = 1548^2 + 10986^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75696 + ... + 77304.

It is an arithmetic number, because the mean of its divisors is an integer number (2856945).

Almost surely, 2^123088500 is an apocalyptic number.

123088500 is a gapful number since it is divisible by the number (10) 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 123088500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205700040).

123088500 is an abundant number, since it is smaller than the sum of its proper divisors (288311580).

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

123088500 is a wasteful number, since it uses less digits than its factorization.

123088500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 123088500 is about 11094.5256771076. The cubic root of 123088500 is about 497.4382304226.

The spelling of 123088500 in words is "one hundred twenty-three million, eighty-eight thousand, five hundred".