12288192 has 112 divisors (see below), whose sum is σ = 38234112. Its totient is φ = 3409920.

The previous prime is 12288173. The next prime is 12288259. The reversal of 12288192 is 29188221.

It is a tau number, because it is divible by the number of its divisors (112).

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, 54993 + ... + 55215.

It is an arithmetic number, because the mean of its divisors is an integer number (341376).

Almost surely, 2^12288192 is an apocalyptic number.

12288192 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 12288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19117056).

12288192 is an abundant number, since it is smaller than the sum of its proper divisors (25945920).

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

12288192 is a wasteful number, since it uses less digits than its factorization.

12288192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 12288192 is about 3505.4517540540. The cubic root of 12288192 is about 230.7611331176.

It can be divided in two parts, 12288 and 192, that multiplied together give a square (2359296 = 1536²).

The spelling of 12288192 in words is "twelve million, two hundred eighty-eight thousand, one hundred ninety-two".