12133716 has 96 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 3139584.

The previous prime is 12133711. The next prime is 12133721. The reversal of 12133716 is 61733121.

It is an interprime number because it is at equal distance from previous prime (12133711) and next prime (12133721).

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 (12133711) 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, 41266 + ... + 41558.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 2^12133716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

12133716 is an abundant number, since it is smaller than the sum of its proper divisors (23428524).

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

12133716 is a wasteful number, since it uses less digits than its factorization.

12133716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 351 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 12133716 is about 3483.3483891222. The cubic root of 12133716 is about 229.7900794156.

Adding to 12133716 its reverse (61733121), we get a palindrome (73866837).

The spelling of 12133716 in words is "twelve million, one hundred thirty-three thousand, seven hundred sixteen".