12116832 has 192 divisors, whose sum is σ = 41771520. Its totient is φ = 2985984.

The previous prime is 12116831. The next prime is 12116833. The reversal of 12116832 is 23861121.

It is an interprime number because it is at equal distance from previous prime (12116831) and next prime (12116833).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12116831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165948 + ... + 166020.

It is an arithmetic number, because the mean of its divisors is an integer number (217560).

Almost surely, 2^12116832 is an apocalyptic number.

12116832 is a gapful number since it is divisible by the number (12) 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 12116832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20885760).

12116832 is an abundant number, since it is smaller than the sum of its proper divisors (29654688).

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

12116832 is a wasteful number, since it uses less digits than its factorization.

12116832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 12116832 is about 3480.9240152580. The cubic root of 12116832 is about 229.6834460574.

Adding to 12116832 its reverse (23861121), we get a palindrome (35977953).

The spelling of 12116832 in words is "twelve million, one hundred sixteen thousand, eight hundred thirty-two".