12393000 has 224 divisors, whose sum is σ = 46037160. Its totient is φ = 3110400.

The previous prime is 12392981. The next prime is 12393001. The reversal of 12393000 is 39321.

It can be written as a sum of positive squares in 4 ways, for example, as 5391684 + 7001316 = 2322^2 + 2646^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12393001) 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 55 ways as a sum of consecutive naturals, for example, 728992 + ... + 729008.

Almost surely, 2^12393000 is an apocalyptic number.

12393000 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 12393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23018580).

12393000 is an abundant number, since it is smaller than the sum of its proper divisors (33644160).

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

12393000 is an equidigital number, since it uses as much as digits as its factorization.

12393000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 12393000 is about 3520.3692988094. The cubic root of 12393000 is about 231.4153431592.

The spelling of 12393000 in words is "twelve million, three hundred ninety-three thousand".