12371632 has 80 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 4709376.

The previous prime is 12371629. The next prime is 12371633. The reversal of 12371632 is 23617321.

12371632 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12371632 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 12371597 and 12371606.

It is not an unprimeable number, because it can be changed into a prime (12371633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42078 + ... + 42370.

It is an arithmetic number, because the mean of its divisors is an integer number (382788).

Almost surely, 2^12371632 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 12371632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

12371632 is an abundant number, since it is smaller than the sum of its proper divisors (18251408).

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

12371632 is a wasteful number, since it uses less digits than its factorization.

12371632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The square root of 12371632 is about 3517.3330806166. Note that the first 3 decimals coincide. The cubic root of 12371632 is about 231.2822645997.

Adding to 12371632 its reverse (23617321), we get a palindrome (35988953).

The spelling of 12371632 in words is "twelve million, three hundred seventy-one thousand, six hundred thirty-two".