12081624 has 64 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 3755136.

The previous prime is 12081613. The next prime is 12081631. The reversal of 12081624 is 42618021.

12081624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12081594 and 12081603.

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, 23482 + ... + 23990.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 2^12081624 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 12081624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

12081624 is an abundant number, since it is smaller than the sum of its proper divisors (20231976).

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

12081624 is a wasteful number, since it uses less digits than its factorization.

12081624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12081624 is about 3475.8630582921. The cubic root of 12081624 is about 229.4607657405.

Adding to 12081624 its reverse (42618021), we get a palindrome (54699645).

The spelling of 12081624 in words is "twelve million, eighty-one thousand, six hundred twenty-four".