12352128 has 64 divisors (see below), whose sum is σ = 34557600. Its totient is φ = 3898368.

The previous prime is 12352103. The next prime is 12352141. The reversal of 12352128 is 82125321.

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

It is a super-2 number, since 2×12352128² = 305150132256768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12352098 and 12352107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6450 + ... + 8142.

Almost surely, 2^12352128 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 12352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278800).

12352128 is an abundant number, since it is smaller than the sum of its proper divisors (22205472).

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

12352128 is a wasteful number, since it uses less digits than its factorization.

12352128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1717 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 12352128 is about 3514.5594318492. The cubic root of 12352128 is about 231.1606610830.

Adding to 12352128 its reverse (82125321), we get a palindrome (94477449).

The spelling of 12352128 in words is "twelve million, three hundred fifty-two thousand, one hundred twenty-eight".