12138000 has 240 divisors, whose sum is σ = 47508864. Its totient is φ = 2611200.

The previous prime is 12137989. The next prime is 12138001. The reversal of 12138000 is 83121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (12138001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713992 + ... + 714008.

Almost surely, 2^12138000 is an apocalyptic number.

12138000 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 12138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23754432).

12138000 is an abundant number, since it is smaller than the sum of its proper divisors (35370864).

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

12138000 is a wasteful number, since it uses less digits than its factorization.

12138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12138000 is about 3483.9632604263. The cubic root of 12138000 is about 229.8171199053.

The spelling of 12138000 in words is "twelve million, one hundred thirty-eight thousand".