12228000 has 96 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 3257600.

The previous prime is 12227993. The next prime is 12228017. The reversal of 12228000 is 82221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

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, 11491 + ... + 12509.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 2^12228000 is an apocalyptic number.

12228000 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 12228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

12228000 is an abundant number, since it is smaller than the sum of its proper divisors (27870240).

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

12228000 is a wasteful number, since it uses less digits than its factorization.

12228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12228000 is about 3496.8557305099. The cubic root of 12228000 is about 230.3837324548.

The spelling of 12228000 in words is "twelve million, two hundred twenty-eight thousand".