12138112 has 128 divisors (see below), whose sum is σ = 31334400. Its totient is φ = 4561920.

The previous prime is 12138107. The next prime is 12138127. The reversal of 12138112 is 21183121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 12138112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391537 + ... + 391567.

It is an arithmetic number, because the mean of its divisors is an integer number (244800).

Almost surely, 2^12138112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667200).

12138112 is an abundant number, since it is smaller than the sum of its proper divisors (19196288).

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

12138112 is a wasteful number, since it uses less digits than its factorization.

12138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its digits is 96, while the sum is 19.

The square root of 12138112 is about 3483.9793340374. The cubic root of 12138112 is about 229.8178267609.

The spelling of 12138112 in words is "twelve million, one hundred thirty-eight thousand, one hundred twelve".