12148128 has 36 divisors (see below), whose sum is σ = 34547058. Its totient is φ = 4049280.

The previous prime is 12148127. The next prime is 12148141. The reversal of 12148128 is 82184121.

12148128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12027024 + 121104 = 3468^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12148121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20803 + ... + 21378.

Almost surely, 2^12148128 is an apocalyptic number.

12148128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12148128 is an abundant number, since it is smaller than the sum of its proper divisors (22398930).

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

12148128 is a wasteful number, since it uses less digits than its factorization.

12148128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42197 (or 42186 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 12148128 is about 3485.4164743973. The cubic root of 12148128 is about 229.8810222700.

The spelling of 12148128 in words is "twelve million, one hundred forty-eight thousand, one hundred twenty-eight".