12144300 has 72 divisors (see below), whose sum is σ = 40164096. Its totient is φ = 2775360.

The previous prime is 12144289. The next prime is 12144313. The reversal of 12144300 is 344121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12144300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792 + ... + 4991.

Almost surely, 2^12144300 is an apocalyptic number.

12144300 is a gapful number since it is divisible by the number (10) 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 12144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20082048).

12144300 is an abundant number, since it is smaller than the sum of its proper divisors (28019796).

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

12144300 is a wasteful number, since it uses less digits than its factorization.

12144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12144300 is about 3484.8672858518. The cubic root of 12144300 is about 229.8568737757.

Adding to 12144300 its reverse (344121), we get a palindrome (12488421).

The spelling of 12144300 in words is "twelve million, one hundred forty-four thousand, three hundred".