12116400 has 120 divisors (see below), whose sum is σ = 40592640. Its totient is φ = 3083520.

The previous prime is 12116399. The next prime is 12116413. The reversal of 12116400 is 461121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12116400.

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, 27381 + ... + 27819.

It is an arithmetic number, because the mean of its divisors is an integer number (338272).

Almost surely, 2^12116400 is an apocalyptic number.

12116400 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 12116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296320).

12116400 is an abundant number, since it is smaller than the sum of its proper divisors (28476240).

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

12116400 is a wasteful number, since it uses less digits than its factorization.

12116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12116400 is about 3480.8619622157. The cubic root of 12116400 is about 229.6807163992.

Adding to 12116400 its reverse (461121), we get a palindrome (12577521).

The spelling of 12116400 in words is "twelve million, one hundred sixteen thousand, four hundred".