12078144 has 84 divisors (see below), whose sum is σ = 37305996. Its totient is φ = 3714048.

The previous prime is 12078139. The next prime is 12078161. The reversal of 12078144 is 44187021.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 7617600 = 2112^2 + 2760^2 .

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, 6682 + ... + 8294.

It is an arithmetic number, because the mean of its divisors is an integer number (444119).

Almost surely, 2^12078144 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 12078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18652998).

12078144 is an abundant number, since it is smaller than the sum of its proper divisors (25227852).

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

12078144 is a wasteful number, since it uses less digits than its factorization.

12078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 12078144 is about 3475.3624271434. The cubic root of 12078144 is about 229.4387322748.

The spelling of 12078144 in words is "twelve million, seventy-eight thousand, one hundred forty-four".