123632500 has 60 divisors (see below), whose sum is σ = 286361460. Its totient is φ = 46528000.

The previous prime is 123632489. The next prime is 123632501. The reversal of 123632500 is 5236321.

It can be written as a sum of positive squares in 10 ways, for example, as 53173264 + 70459236 = 7292^2 + 8394^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123632501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41046 + ... + 43954.

It is an arithmetic number, because the mean of its divisors is an integer number (4772691).

Almost surely, 2^123632500 is an apocalyptic number.

123632500 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 123632500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143180730).

123632500 is an abundant number, since it is smaller than the sum of its proper divisors (162728960).

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

123632500 is a wasteful number, since it uses less digits than its factorization.

123632500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 123632500 is about 11119.0152441662. The cubic root of 123632500 is about 498.1699768690.

Adding to 123632500 its reverse (5236321), we get a palindrome (128868821).

The spelling of 123632500 in words is "one hundred twenty-three million, six hundred thirty-two thousand, five hundred".