12185856 has 144 divisors (see below), whose sum is σ = 37773120. Its totient is φ = 3870720.

The previous prime is 12185843. The next prime is 12185863. The reversal of 12185856 is 65858121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12185856.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283371 + ... + 283413.

Almost surely, 2^12185856 is an apocalyptic number.

12185856 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 12185856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18886560).

12185856 is an abundant number, since it is smaller than the sum of its proper divisors (25587264).

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

12185856 is an equidigital number, since it uses as much as digits as its factorization.

12185856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 12185856 is about 3490.8245444307. The cubic root of 12185856 is about 230.1187540490.

It can be divided in two parts, 12185 and 856, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12185856 in words is "twelve million, one hundred eighty-five thousand, eight hundred fifty-six".