12418400 has 108 divisors (see below), whose sum is σ = 32740092. Its totient is φ = 4596480.

The previous prime is 12418369. The next prime is 12418411. The reversal of 12418400 is 481421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 288779 + ... + 288821.

It is an arithmetic number, because the mean of its divisors is an integer number (303149).

Almost surely, 2^12418400 is an apocalyptic number.

12418400 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 12418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370046).

12418400 is an abundant number, since it is smaller than the sum of its proper divisors (20321692).

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

12418400 is a wasteful number, since it uses less digits than its factorization.

12418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 12418400 is about 3523.9750282884. The cubic root of 12418400 is about 231.5733339222.

Adding to 12418400 its reverse (481421), we get a palindrome (12899821).

The spelling of 12418400 in words is "twelve million, four hundred eighteen thousand, four hundred".