12627144 has 64 divisors (see below), whose sum is σ = 35769600. Its totient is φ = 4125888.

The previous prime is 12627133. The next prime is 12627149. The reversal of 12627144 is 44172621.

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

It is not an unprimeable number, because it can be changed into a prime (12627149) 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, 10897 + ... + 11999.

It is an arithmetic number, because the mean of its divisors is an integer number (558900).

Almost surely, 2^12627144 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 12627144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17884800).

12627144 is an abundant number, since it is smaller than the sum of its proper divisors (23142456).

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

12627144 is a wasteful number, since it uses less digits than its factorization.

12627144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1161 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12627144 is about 3553.4692907073. The cubic root of 12627144 is about 232.8636556717.

Adding to 12627144 its reverse (44172621), we get a palindrome (56799765).

The spelling of 12627144 in words is "twelve million, six hundred twenty-seven thousand, one hundred forty-four".