12192128 has 64 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 5283840.

The previous prime is 12192121. The next prime is 12192143. The reversal of 12192128 is 82129121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 12192097 and 12192106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12192121) 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, 28073 + ... + 28503.

It is an arithmetic number, because the mean of its divisors is an integer number (433755).

Almost surely, 2^12192128 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 12192128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

12192128 is an abundant number, since it is smaller than the sum of its proper divisors (15568192).

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

12192128 is a wasteful number, since it uses less digits than its factorization.

12192128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its digits is 576, while the sum is 26.

The square root of 12192128 is about 3491.7227839564. The cubic root of 12192128 is about 230.1582276069.

The spelling of 12192128 in words is "twelve million, one hundred ninety-two thousand, one hundred twenty-eight".