12118000 has 80 divisors (see below), whose sum is σ = 30060576. Its totient is φ = 4723200.

The previous prime is 12117997. The next prime is 12118003. The reversal of 12118000 is 81121.

It is an interprime number because it is at equal distance from previous prime (12117997) and next prime (12118003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12118003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145959 + ... + 146041.

Almost surely, 2^12118000 is an apocalyptic number.

12118000 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 12118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15030288).

12118000 is an abundant number, since it is smaller than the sum of its proper divisors (17942576).

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

12118000 is an equidigital number, since it uses as much as digits as its factorization.

12118000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 12118000 is about 3481.0917827601. The cubic root of 12118000 is about 229.6908259194.

Adding to 12118000 its reverse (81121), we get a palindrome (12199121).

The spelling of 12118000 in words is "twelve million, one hundred eighteen thousand".