11987200 has 54 divisors (see below), whose sum is σ = 29686034. Its totient is φ = 4792320.

The previous prime is 11987191. The next prime is 11987201. The reversal of 11987200 is 278911.

It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 11943936 = 208^2 + 3456^2 .

It is not an unprimeable number, because it can be changed into a prime (11987201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5464 + ... + 7336.

Almost surely, 2^11987200 is an apocalyptic number.

11987200 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 11987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843017).

11987200 is an abundant number, since it is smaller than the sum of its proper divisors (17698834).

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

11987200 is an equidigital number, since it uses as much as digits as its factorization.

11987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 11987200 is about 3462.2536013412. The cubic root of 11987200 is about 228.8614176489.

The spelling of 11987200 in words is "eleven million, nine hundred eighty-seven thousand, two hundred".