12404100 has 72 divisors (see below), whose sum is σ = 36247680. Its totient is φ = 3274880.

The previous prime is 12404089. The next prime is 12404143. The reversal of 12404100 is 140421.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51781 + ... + 52019.

It is an arithmetic number, because the mean of its divisors is an integer number (503440).

Almost surely, 2^12404100 is an apocalyptic number.

12404100 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 12404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123840).

12404100 is an abundant number, since it is smaller than the sum of its proper divisors (23843580).

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

12404100 is a wasteful number, since it uses less digits than its factorization.

12404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12404100 is about 3521.9454850977. The cubic root of 12404100 is about 231.4844128972.

Adding to 12404100 its reverse (140421), we get a palindrome (12544521).

The spelling of 12404100 in words is "twelve million, four hundred four thousand, one hundred".