12206400 has 84 divisors (see below), whose sum is σ = 40062912. Its totient is φ = 3253760.

The previous prime is 12206393. The next prime is 12206401. The reversal of 12206400 is 460221.

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 12206400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12206401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3529 + ... + 6071.

Almost surely, 2^12206400 is an apocalyptic number.

12206400 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 12206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20031456).

12206400 is an abundant number, since it is smaller than the sum of its proper divisors (27856512).

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

12206400 is a wasteful number, since it uses less digits than its factorization.

12206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12206400 is about 3493.7658765292. The cubic root of 12206400 is about 230.2479996667.

Adding to 12206400 its reverse (460221), we get a palindrome (12666621).

The spelling of 12206400 in words is "twelve million, two hundred six thousand, four hundred".