12085065216 has 600 divisors, whose sum is σ = 44309362680. Its totient is φ = 3260694528.

The previous prime is 12085065149. The next prime is 12085065233. The reversal of 12085065216 is 61256058021.

12085065216 is a `hidden beast` number, since 120 + 8 + 5 + 0 + 6 + 521 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38610276 + ... + 38610588.

Almost surely, 2^12085065216 is an apocalyptic number.

12085065216 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 12085065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22154681340).

12085065216 is an abundant number, since it is smaller than the sum of its proper divisors (32224297464).

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

12085065216 is an equidigital number, since it uses as much as digits as its factorization.

12085065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 12085065216 in words is "twelve billion, eighty-five million, sixty-five thousand, two hundred sixteen".