12284000 has 96 divisors (see below), whose sum is σ = 31370976. Its totient is φ = 4723200.

The previous prime is 12283961. The next prime is 12284003. The reversal of 12284000 is 48221.

It is a self number, because there is not a number n which added to its sum of digits gives 12284000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12284003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147959 + ... + 148041.

It is an arithmetic number, because the mean of its divisors is an integer number (326781).

Almost surely, 2^12284000 is an apocalyptic number.

12284000 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 12284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488).

12284000 is an abundant number, since it is smaller than the sum of its proper divisors (19086976).

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

12284000 is an equidigital number, since it uses as much as digits as its factorization.

12284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 12284000 is about 3504.8537772638. The cubic root of 12284000 is about 230.7348894767.

The spelling of 12284000 in words is "twelve million, two hundred eighty-four thousand".