12438000 has 120 divisors (see below), whose sum is σ = 43504656. Its totient is φ = 3312000.

The previous prime is 12437969. The next prime is 12438043. The reversal of 12438000 is 83421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17655 + ... + 18345.

Almost surely, 2^12438000 is an apocalyptic number.

12438000 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 12438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21752328).

12438000 is an abundant number, since it is smaller than the sum of its proper divisors (31066656).

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

12438000 is a wasteful number, since it uses less digits than its factorization.

12438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12438000 is about 3526.7548823245. The cubic root of 12438000 is about 231.6951008581.

The spelling of 12438000 in words is "twelve million, four hundred thirty-eight thousand".