12536120 has 64 divisors (see below), whose sum is σ = 29743200. Its totient is φ = 4748800.

The previous prime is 12536113. The next prime is 12536129. The reversal of 12536120 is 2163521.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12536092 and 12536101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12536129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117107 + ... + 117213.

Almost surely, 2^12536120 is an apocalyptic number.

12536120 is a gapful number since it is divisible by the number (10) 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 12536120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871600).

12536120 is an abundant number, since it is smaller than the sum of its proper divisors (17207080).

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

12536120 is a wasteful number, since it uses less digits than its factorization.

12536120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 12536120 is about 3540.6383605220. The cubic root of 12536120 is about 232.3027656312.

Adding to 12536120 its reverse (2163521), we get a palindrome (14699641).

The spelling of 12536120 in words is "twelve million, five hundred thirty-six thousand, one hundred twenty".