12144231200 has 72 divisors (see below), whose sum is σ = 29811256020. Its totient is φ = 4830796800.

The previous prime is 12144231199. The next prime is 12144231221. The reversal of 12144231200 is 213244121.

It can be written as a sum of positive squares in 6 ways, for example, as 97851664 + 12046379536 = 9892^2 + 109756^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 102866 + ... + 186734.

Almost surely, 2^12144231200 is an apocalyptic number.

12144231200 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 12144231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905628010).

12144231200 is an abundant number, since it is smaller than the sum of its proper divisors (17667024820).

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

12144231200 is a wasteful number, since it uses less digits than its factorization.

12144231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84070 (or 84057 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12144231200 its reverse (213244121), we get a palindrome (12357475321).

The spelling of 12144231200 in words is "twelve billion, one hundred forty-four million, two hundred thirty-one thousand, two hundred".