12167316 has 72 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 3407040.

The previous prime is 12167297. The next prime is 12167317. The reversal of 12167316 is 61376121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12167316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12167317) 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 23 ways as a sum of consecutive naturals, for example, 12901 + ... + 13811.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 2^12167316 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 12167316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

12167316 is an abundant number, since it is smaller than the sum of its proper divisors (23685228).

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

12167316 is a wasteful number, since it uses less digits than its factorization.

12167316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 976 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 12167316 is about 3488.1680005413. The cubic root of 12167316 is about 230.0019911611.

The spelling of 12167316 in words is "twelve million, one hundred sixty-seven thousand, three hundred sixteen".