12105016 has 64 divisors (see below), whose sum is σ = 29018880. Its totient is φ = 4596480.

The previous prime is 12105011. The next prime is 12105019. The reversal of 12105016 is 61050121.

It is a happy number.

12105016 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

12105016 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105011) 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, 26260 + ... + 26716.

It is an arithmetic number, because the mean of its divisors is an integer number (453420).

Almost surely, 2^12105016 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 12105016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509440).

12105016 is an abundant number, since it is smaller than the sum of its proper divisors (16913864).

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

12105016 is a wasteful number, since it uses less digits than its factorization.

12105016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 12105016 is about 3479.2263507855. The cubic root of 12105016 is about 229.6087614571.

Adding to 12105016 its reverse (61050121), we get a palindrome (73155137).

It can be divided in two parts, 1210 and 5016, that added together give a palindrome (6226).

The spelling of 12105016 in words is "twelve million, one hundred five thousand, sixteen".