11988 has 30 divisors (see below), whose sum is σ = 32186. Its totient is φ = 3888.

The previous prime is 11987. The next prime is 12007. The reversal of 11988 is 88911.

11988 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 324 = 108^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11981) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 306 + ... + 342.

2¹¹⁹⁸⁸ is an apocalyptic number.

11988 is a gapful number since it is divisible by the number (18) 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 11988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16093).

11988 is an abundant number, since it is smaller than the sum of its proper divisors (20198).

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

11988 is a wasteful number, since it uses less digits than its factorization.

11988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 42 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 11988 is about 109.4897255454. The cubic root of 11988 is about 22.8866508776.

11988 divided by its sum of digits (27) gives a palindrome (444).

It can be divided in two parts, 11 and 988, that added together give a palindrome (999).

The spelling of 11988 in words is "eleven thousand, nine hundred eighty-eight".