12087200 has 72 divisors (see below), whose sum is σ = 30583980. Its totient is φ = 4659200.

The previous prime is 12087199. The next prime is 12087203. The reversal of 12087200 is 278021.

12087200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3254416 + 8832784 = 1804^2 + 2972^2 .

It is a super-2 number, since 2×12087200² = 292200807680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12087203) 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, 22940 + ... + 23460.

Almost surely, 2^12087200 is an apocalyptic number.

12087200 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 12087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15291990).

12087200 is an abundant number, since it is smaller than the sum of its proper divisors (18496780).

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

12087200 is a wasteful number, since it uses less digits than its factorization.

12087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 12087200 is about 3476.6650687117. The cubic root of 12087200 is about 229.4960611181.

The spelling of 12087200 in words is "twelve million, eighty-seven thousand, two hundred".