12005112 has 64 divisors (see below), whose sum is σ = 36115200. Its totient is φ = 3248640.

The previous prime is 12005099. The next prime is 12005141. The reversal of 12005112 is 21150021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1312 + ... + 5072.

It is an arithmetic number, because the mean of its divisors is an integer number (564300).

Almost surely, 2^12005112 is an apocalyptic number.

12005112 is a gapful number since it is divisible by the number (12) 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 12005112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057600).

12005112 is an abundant number, since it is smaller than the sum of its proper divisors (24110088).

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

12005112 is a wasteful number, since it uses less digits than its factorization.

12005112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 12005112 is about 3464.8393902171. The cubic root of 12005112 is about 228.9753537798.

Adding to 12005112 its reverse (21150021), we get a palindrome (33155133).

The spelling of 12005112 in words is "twelve million, five thousand, one hundred twelve".