12286400 has 84 divisors (see below), whose sum is σ = 34582608. Its totient is φ = 4208640.

The previous prime is 12286397. The next prime is 12286403. The reversal of 12286400 is 468221.

It is an interprime number because it is at equal distance from previous prime (12286397) and next prime (12286403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12286403) 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 11 ways as a sum of consecutive naturals, for example, 10652 + ... + 11748.

Almost surely, 2^12286400 is an apocalyptic number.

12286400 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 12286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17291304).

12286400 is an abundant number, since it is smaller than the sum of its proper divisors (22296208).

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

12286400 is a wasteful number, since it uses less digits than its factorization.

12286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 12286400 is about 3505.1961428713. The cubic root of 12286400 is about 230.7499151924.

The spelling of 12286400 in words is "twelve million, two hundred eighty-six thousand, four hundred".