12130816 has 80 divisors (see below), whose sum is σ = 27007200. Its totient is φ = 5419008.

The previous prime is 12130771. The next prime is 12130849. The reversal of 12130816 is 61803121.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282091 + ... + 282133.

It is an arithmetic number, because the mean of its divisors is an integer number (337590).

Almost surely, 2^12130816 is an apocalyptic number.

12130816 is a gapful number since it is divisible by the number (16) 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 12130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13503600).

12130816 is an abundant number, since it is smaller than the sum of its proper divisors (14876384).

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

12130816 is an equidigital number, since it uses as much as digits as its factorization.

12130816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 12130816 is about 3482.9320981036. The cubic root of 12130816 is about 229.7717710830.

Adding to 12130816 its reverse (61803121), we get a palindrome (73933937).

The spelling of 12130816 in words is "twelve million, one hundred thirty thousand, eight hundred sixteen".