12147288 has 64 divisors (see below), whose sum is σ = 32486400. Its totient is φ = 3776640.

The previous prime is 12147283. The next prime is 12147293. The reversal of 12147288 is 88274121.

It is a happy number.

12147288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12147283) and next prime (12147293).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12147283) 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, 21295 + ... + 21857.

It is an arithmetic number, because the mean of its divisors is an integer number (507600).

Almost surely, 2^12147288 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 12147288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16243200).

12147288 is an abundant number, since it is smaller than the sum of its proper divisors (20339112).

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

12147288 is a wasteful number, since it uses less digits than its factorization.

12147288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 12147288 is about 3485.2959702154. The cubic root of 12147288 is about 229.8757236619.

The spelling of 12147288 in words is "twelve million, one hundred forty-seven thousand, two hundred eighty-eight".