12505416 has 128 divisors (see below), whose sum is σ = 39951360. Its totient is φ = 3168000.

The previous prime is 12505393. The next prime is 12505417. The reversal of 12505416 is 61450521.

12505416 is digitally balanced in base 2 and base 4, because in such bases 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 an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12505417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123766 + ... + 123866.

It is an arithmetic number, because the mean of its divisors is an integer number (312120).

Almost surely, 2^12505416 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 12505416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975680).

12505416 is an abundant number, since it is smaller than the sum of its proper divisors (27445944).

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

12505416 is a wasteful number, since it uses less digits than its factorization.

12505416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 12505416 is about 3536.2997610497. The cubic root of 12505416 is about 232.1129553010.

Adding to 12505416 its reverse (61450521), we get a palindrome (73955937).

It can be divided in two parts, 12505 and 416, that added together give a palindrome (12921).

The spelling of 12505416 in words is "twelve million, five hundred five thousand, four hundred sixteen".