12345600 has 108 divisors (see below), whose sum is σ = 40806416. Its totient is φ = 3287040.

The previous prime is 12345581. The next prime is 12345623. The reversal of 12345600 is 654321.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18879 + ... + 19521.

Almost surely, 2^12345600 is an apocalyptic number.

12345600 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 12345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20403208).

12345600 is an abundant number, since it is smaller than the sum of its proper divisors (28460816).

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

12345600 is an equidigital number, since it uses as much as digits as its factorization.

12345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12345600 is about 3513.6306009596. The cubic root of 12345600 is about 231.1199317256.

Adding to 12345600 its reverse (654321), we get a palindrome (12999921).

The spelling of 12345600 in words is "twelve million, three hundred forty-five thousand, six hundred".