12134616 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3345408.

The previous prime is 12134581. The next prime is 12134623. The reversal of 12134616 is 61643121.

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

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

It is a congruent number.

It is an unprimeable number.

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, 136300 + ... + 136388.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^12134616 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 12134616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

12134616 is an abundant number, since it is smaller than the sum of its proper divisors (24153384).

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

12134616 is a wasteful number, since it uses less digits than its factorization.

12134616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 12134616 is about 3483.4775727712. The cubic root of 12134616 is about 229.7957607188.

Adding to 12134616 its reverse (61643121), we get a palindrome (73777737).

The spelling of 12134616 in words is "twelve million, one hundred thirty-four thousand, six hundred sixteen".