12138160 has 40 divisors (see below), whose sum is σ = 28632096. Its totient is φ = 4784640.

The previous prime is 12138157. The next prime is 12138163. The reversal of 12138160 is 6183121.

12138160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12138157) and next prime (12138163).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12138163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4612 + ... + 6748.

Almost surely, 2^12138160 is an apocalyptic number.

12138160 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 12138160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316048).

12138160 is an abundant number, since it is smaller than the sum of its proper divisors (16493936).

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

12138160 is a wasteful number, since it uses less digits than its factorization.

12138160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 12138160 is about 3483.9862227053. The cubic root of 12138160 is about 229.8181296977.

The spelling of 12138160 in words is "twelve million, one hundred thirty-eight thousand, one hundred sixty".