12413100 has 144 divisors (see below), whose sum is σ = 42997248. Its totient is φ = 2703360.

The previous prime is 12413087. The next prime is 12413101. The reversal of 12413100 is 131421.

It is a happy number.

It is a super-2 number, since 2×12413100² = 308170103220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12413101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48172 + ... + 48428.

It is an arithmetic number, because the mean of its divisors is an integer number (298592).

Almost surely, 2^12413100 is an apocalyptic number.

12413100 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 12413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21498624).

12413100 is an abundant number, since it is smaller than the sum of its proper divisors (30584148).

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

12413100 is a wasteful number, since it uses less digits than its factorization.

12413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12413100 is about 3523.2229563285. Note that the first 3 decimals coincide. The cubic root of 12413100 is about 231.5403851442.

Adding to 12413100 its reverse (131421), we get a palindrome (12544521).

The spelling of 12413100 in words is "twelve million, four hundred thirteen thousand, one hundred".