12241632 has 96 divisors (see below), whose sum is σ = 36705312. Its totient is φ = 3538944.

The previous prime is 12241613. The next prime is 12241651. The reversal of 12241632 is 23614221.

12241632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12241613) and next prime (12241651).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 12241599 and 12241608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20928 + ... + 21504.

It is an arithmetic number, because the mean of its divisors is an integer number (382347).

Almost surely, 2^12241632 is an apocalyptic number.

12241632 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 12241632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352656).

12241632 is an abundant number, since it is smaller than the sum of its proper divisors (24463680).

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

12241632 is a wasteful number, since it uses less digits than its factorization.

12241632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 12241632 is about 3498.8043672089. The cubic root of 12241632 is about 230.4693126724.

Adding to 12241632 its reverse (23614221), we get a palindrome (35855853).

The spelling of 12241632 in words is "twelve million, two hundred forty-one thousand, six hundred thirty-two".