12258000 has 160 divisors (see below), whose sum is σ = 44104320. Its totient is φ = 3254400.

The previous prime is 12257977. The next prime is 12258007. The reversal of 12258000 is 85221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12258007) 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 31 ways as a sum of consecutive naturals, for example, 53887 + ... + 54113.

It is an arithmetic number, because the mean of its divisors is an integer number (275652).

Almost surely, 2^12258000 is an apocalyptic number.

12258000 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 12258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052160).

12258000 is an abundant number, since it is smaller than the sum of its proper divisors (31846320).

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

12258000 is a wasteful number, since it uses less digits than its factorization.

12258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12258000 is about 3501.1426706148. The cubic root of 12258000 is about 230.5719853025.

The spelling of 12258000 in words is "twelve million, two hundred fifty-eight thousand".