12003600 has 120 divisors (see below), whose sum is σ = 43975360. Its totient is φ = 2741760.

The previous prime is 12003571. The next prime is 12003601. The reversal of 12003600 is 630021.

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 (12).

12003600 is a modest number, since divided by 3600 gives 1200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7686 + ... + 9114.

Almost surely, 2^12003600 is an apocalyptic number.

12003600 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 12003600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21987680).

12003600 is an abundant number, since it is smaller than the sum of its proper divisors (31971760).

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

12003600 is a wasteful number, since it uses less digits than its factorization.

12003600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12003600 is about 3464.6211914147. The cubic root of 12003600 is about 228.9657405065.

Adding to 12003600 its reverse (630021), we get a palindrome (12633621).

The spelling of 12003600 in words is "twelve million, three thousand, six hundred".