12300288 has 208 divisors, whose sum is σ = 44034816. Its totient is φ = 2949120.

The previous prime is 12300283. The next prime is 12300307. The reversal of 12300288 is 88200321.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300283) 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, 946170 + ... + 946182.

Almost surely, 2^12300288 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 12300288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22017408).

12300288 is an abundant number, since it is smaller than the sum of its proper divisors (31734528).

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

12300288 is a wasteful number, since it uses less digits than its factorization.

12300288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12300288 is about 3507.1766422580. The cubic root of 12300288 is about 230.8368256005.

The spelling of 12300288 in words is "twelve million, three hundred thousand, two hundred eighty-eight".