12126000 has 160 divisors (see below), whose sum is σ = 40854528. Its totient is φ = 3091200.

The previous prime is 12125999. The next prime is 12126001. The reversal of 12126000 is 62121.

It is an interprime number because it is at equal distance from previous prime (12125999) and next prime (12126001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12126001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257977 + ... + 258023.

Almost surely, 2^12126000 is an apocalyptic number.

12126000 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 12126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20427264).

12126000 is an abundant number, since it is smaller than the sum of its proper divisors (28728528).

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

12126000 is a wasteful number, since it uses less digits than its factorization.

12126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12126000 is about 3482.2406579672. The cubic root of 12126000 is about 229.7413601768.

Adding to 12126000 its reverse (62121), we get a palindrome (12188121).

The spelling of 12126000 in words is "twelve million, one hundred twenty-six thousand".