12607128 has 72 divisors (see below), whose sum is σ = 35801220. Its totient is φ = 4007520.

The previous prime is 12607099. The next prime is 12607129. The reversal of 12607128 is 82170621.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12607129) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37923 + ... + 38253.

Almost surely, 2^12607128 is an apocalyptic number.

12607128 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 12607128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17900610).

12607128 is an abundant number, since it is smaller than the sum of its proper divisors (23194092).

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

12607128 is a wasteful number, since it uses less digits than its factorization.

12607128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12607128 is about 3550.6517711541. The cubic root of 12607128 is about 232.7405488180.

Adding to 12607128 its reverse (82170621), we get a palindrome (94777749).

The spelling of 12607128 in words is "twelve million, six hundred seven thousand, one hundred twenty-eight".