12135816 has 144 divisors (see below), whose sum is σ = 41496000. Its totient is φ = 3136320.

The previous prime is 12135803. The next prime is 12135821. The reversal of 12135816 is 61853121.

Its product of digits (1440) is a multiple of the sum of its prime factors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 12135816.

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 35 ways as a sum of consecutive naturals, for example, 60885 + ... + 61083.

Almost surely, 2^12135816 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 12135816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748000).

12135816 is an abundant number, since it is smaller than the sum of its proper divisors (29360184).

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

12135816 is a wasteful number, since it uses less digits than its factorization.

12135816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 12135816 is about 3483.6498101847. The cubic root of 12135816 is about 229.8033353528.

Adding to 12135816 its reverse (61853121), we get a palindrome (73988937).

It can be divided in two parts, 121 and 35816, that added together give a cube (35937 = 33³).

The spelling of 12135816 in words is "twelve million, one hundred thirty-five thousand, eight hundred sixteen".