12478144 has 84 divisors (see below), whose sum is σ = 30230064. Its totient is φ = 5085696.

The previous prime is 12478133. The next prime is 12478157. The reversal of 12478144 is 44187421.

It is a happy number.

12478144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72042 + ... + 72214.

Almost surely, 2^12478144 is an apocalyptic number.

12478144 is a gapful number since it is divisible by the number (14) 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 12478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115032).

12478144 is an abundant number, since it is smaller than the sum of its proper divisors (17751920).

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

12478144 is a wasteful number, since it uses less digits than its factorization.

12478144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its digits is 7168, while the sum is 31.

The square root of 12478144 is about 3532.4416484919. The cubic root of 12478144 is about 231.9441006822.

The spelling of 12478144 in words is "twelve million, four hundred seventy-eight thousand, one hundred forty-four".