12446000 has 120 divisors (see below), whose sum is σ = 35283456. Its totient is φ = 4233600.

The previous prime is 12445999. The next prime is 12446011. The reversal of 12446000 is 64421.

It is a self number, because there is not a number n which added to its sum of digits gives 12446000.

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 23 ways as a sum of consecutive naturals, for example, 97937 + ... + 98063.

Almost surely, 2^12446000 is an apocalyptic number.

12446000 is a gapful number since it is divisible by the number (10) 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 12446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641728).

12446000 is an abundant number, since it is smaller than the sum of its proper divisors (22837456).

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

12446000 is a wasteful number, since it uses less digits than its factorization.

12446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 12446000 is about 3527.8888871392. Note that the first 5 decimals coincide. The cubic root of 12446000 is about 231.7447648864.

The spelling of 12446000 in words is "twelve million, four hundred forty-six thousand".