12530504144000 has 128 divisors (see below), whose sum is σ = 32508487140480. Its totient is φ = 4794279705600.

The previous prime is 12530504143943. The next prime is 12530504144009. The reversal of 12530504144000 is 44140503521.

12530504144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (12530504144009) 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, 16657142 + ... + 17393141.

It is an arithmetic number, because the mean of its divisors is an integer number (253972555785).

Almost surely, 2^{12530504144000} is an apocalyptic number.

12530504144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12530504144000 is an abundant number, since it is smaller than the sum of its proper divisors (19977982996480).

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

12530504144000 is an equidigital number, since it uses as much as digits as its factorization.

12530504144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34050335 (or 34050313 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 12530504144000 its reverse (44140503521), we get a palindrome (12574644647521).

The spelling of 12530504144000 in words is "twelve trillion, five hundred thirty billion, five hundred four million, one hundred forty-four thousand".