12027600 has 180 divisors, whose sum is σ = 45124716. Its totient is φ = 2949120.

The previous prime is 12027599. The next prime is 12027601. The reversal of 12027600 is 672021.

It is a happy number.

12027600 is digitally balanced in base 2 and base 4, because in such bases 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 (12027599) and next prime (12027601).

It can be written as a sum of positive squares in 6 ways, for example, as 576 + 12027024 = 24^2 + 3468^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12027601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46672 + ... + 46928.

Almost surely, 2^12027600 is an apocalyptic number.

12027600 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 12027600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22562358).

12027600 is an abundant number, since it is smaller than the sum of its proper divisors (33097116).

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

12027600 is a wasteful number, since it uses less digits than its factorization.

12027600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12027600 is about 3468.0830439884. The cubic root of 12027600 is about 229.1182369654.

Adding to 12027600 its reverse (672021), we get a palindrome (12699621).

The spelling of 12027600 in words is "twelve million, twenty-seven thousand, six hundred".