12045600 has 216 divisors, whose sum is σ = 48746880. Its totient is φ = 2741760.

The previous prime is 12045589. The next prime is 12045611. The reversal of 12045600 is 654021.

It is a happy number.

12045600 is a `hidden beast` number, since 1 + 20 + 45 + 600 = 666.

12045600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12045589) and next prime (12045611).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50281 + ... + 50519.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^12045600 is an apocalyptic number.

12045600 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 12045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

12045600 is an abundant number, since it is smaller than the sum of its proper divisors (36701280).

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

12045600 is a wasteful number, since it uses less digits than its factorization.

12045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12045600 is about 3470.6771673551. The cubic root of 12045600 is about 229.2324762329.

Adding to 12045600 its reverse (654021), we get a palindrome (12699621).

The spelling of 12045600 in words is "twelve million, forty-five thousand, six hundred".