12553120 has 48 divisors (see below), whose sum is σ = 30125088. Its totient is φ = 4942080.

The previous prime is 12553117. The next prime is 12553127. The reversal of 12553120 is 2135521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12553127) 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 7 ways as a sum of consecutive naturals, for example, 10135 + ... + 11305.

It is an arithmetic number, because the mean of its divisors is an integer number (627606).

Almost surely, 2^12553120 is an apocalyptic number.

12553120 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 12553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15062544).

12553120 is an abundant number, since it is smaller than the sum of its proper divisors (17571968).

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

12553120 is a wasteful number, since it uses less digits than its factorization.

12553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 12553120 is about 3543.0382442192. The cubic root of 12553120 is about 232.4077253592.

Adding to 12553120 its reverse (2135521), we get a palindrome (14688641).

The spelling of 12553120 in words is "twelve million, five hundred fifty-three thousand, one hundred twenty".