12292128 has 96 divisors (see below), whose sum is σ = 36832320. Its totient is φ = 3985920.

The previous prime is 12292127. The next prime is 12292141. The reversal of 12292128 is 82129221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (12292121) 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, 35251 + ... + 35597.

It is an arithmetic number, because the mean of its divisors is an integer number (383670).

Almost surely, 2^12292128 is an apocalyptic number.

12292128 is a gapful number since it is divisible by the number (18) 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 12292128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416160).

12292128 is an abundant number, since it is smaller than the sum of its proper divisors (24540192).

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

12292128 is a wasteful number, since it uses less digits than its factorization.

12292128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 12292128 is about 3506.0131203405. The cubic root of 12292128 is about 230.7857686610.

The spelling of 12292128 in words is "twelve million, two hundred ninety-two thousand, one hundred twenty-eight".