12148864 has 96 divisors (see below), whose sum is σ = 30523500. Its totient is φ = 4773888.

The previous prime is 12148861. The next prime is 12148891. The reversal of 12148864 is 46884121.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 1960000 = 3192^2 + 1400^2 .

It is not an unprimeable number, because it can be changed into a prime (12148861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81462 + ... + 81610.

Almost surely, 2^12148864 is an apocalyptic number.

12148864 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 12148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261750).

12148864 is an abundant number, since it is smaller than the sum of its proper divisors (18374636).

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

12148864 is a wasteful number, since it uses less digits than its factorization.

12148864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 12148864 is about 3485.5220555894. The cubic root of 12148864 is about 229.8856646592.

The spelling of 12148864 in words is "twelve million, one hundred forty-eight thousand, eight hundred sixty-four".