12085216 has 96 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 4769280.

The previous prime is 12085211. The next prime is 12085267. The reversal of 12085216 is 61258021.

12085216 = T₁ + T₂ + ... + T₄₁₆.

12085216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

12085216 is a nontrivial binomial coefficient, being equal to C(418, 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085211) by changing a digit.

It is the 416-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86875 + ... + 87013.

It is an arithmetic number, because the mean of its divisors is an integer number (308700).

Almost surely, 2^12085216 is an apocalyptic number.

12085216 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 12085216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

12085216 is an abundant number, since it is smaller than the sum of its proper divisors (17549984).

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

12085216 is a wasteful number, since it uses less digits than its factorization.

12085216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 12085216 is about 3476.3797260944. The cubic root of 12085216 is about 229.4835038923.

The spelling of 12085216 in words is "twelve million, eighty-five thousand, two hundred sixteen".