12144040000000 has 720 divisors, whose sum is σ = 33152607804888. Its totient is φ = 4443264000000.

The previous prime is 12144039999997. The next prime is 12144040000007. The reversal of 12144040000000 is 4044121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 12067342020864 + 76697979136 = 3473808^2 + 276944^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12144040000007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 418759999986 + ... + 418760000014.

Almost surely, 2^{12144040000000} is an apocalyptic number.

12144040000000 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 12144040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16576303902444).

12144040000000 is an abundant number, since it is smaller than the sum of its proper divisors (21008567804888).

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

12144040000000 is an frugal number, since it uses more digits than its factorization.

12144040000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12144040000000 its reverse (4044121), we get a palindrome (12144044044121).

The spelling of 12144040000000 in words is "twelve trillion, one hundred forty-four billion, forty million", and thus it is an aban number.