12508100 has 72 divisors (see below), whose sum is σ = 30185568. Its totient is φ = 4460800.

The previous prime is 12508091. The next prime is 12508117. The reversal of 12508100 is 180521.

It is a super-2 number, since 2×12508100² = 312905131220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91232 + ... + 91368.

It is an arithmetic number, because the mean of its divisors is an integer number (419244).

Almost surely, 2^12508100 is an apocalyptic number.

12508100 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 12508100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092784).

12508100 is an abundant number, since it is smaller than the sum of its proper divisors (17677468).

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

12508100 is a wasteful number, since it uses less digits than its factorization.

12508100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 12508100 is about 3536.6792334053. The cubic root of 12508100 is about 232.1295600160.

Adding to 12508100 its reverse (180521), we get a palindrome (12688621).

The spelling of 12508100 in words is "twelve million, five hundred eight thousand, one hundred".