12085164 has 216 divisors, whose sum is σ = 41827968. Its totient is φ = 2903040.

The previous prime is 12085163. The next prime is 12085169. The reversal of 12085164 is 46158021.

12085164 = 228² + 229² + ... + 363².

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (12085163) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 389829 + ... + 389859.

It is an arithmetic number, because the mean of its divisors is an integer number (193648).

Almost surely, 2^12085164 is an apocalyptic number.

12085164 is a gapful number since it is divisible by the number (14) 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 12085164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

12085164 is an abundant number, since it is smaller than the sum of its proper divisors (29742804).

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

12085164 is a wasteful number, since it uses less digits than its factorization.

12085164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12085164 is about 3476.3722470414. The cubic root of 12085164 is about 229.4831747530.

The spelling of 12085164 in words is "twelve million, eighty-five thousand, one hundred sixty-four".