12504113145072 has 240 divisors, whose sum is σ = 37415667744000. Its totient is φ = 3888601052160.

The previous prime is 12504113145071. The next prime is 12504113145193. The reversal of 12504113145072 is 27054131140521.

12504113145072 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 4 + 1 + 131 + 450 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12504113145071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692394379 + ... + 692412437.

It is an arithmetic number, because the mean of its divisors is an integer number (155898615600).

Almost surely, 2^{12504113145072} is an apocalyptic number.

12504113145072 is a gapful number since it is divisible by the number (12) 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 12504113145072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18707833872000).

12504113145072 is an abundant number, since it is smaller than the sum of its proper divisors (24911554598928).

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

12504113145072 is a wasteful number, since it uses less digits than its factorization.

12504113145072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23236 (or 23227 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 12504113145072 its reverse (27054131140521), we get a palindrome (39558244285593).

The spelling of 12504113145072 in words is "twelve trillion, five hundred four billion, one hundred thirteen million, one hundred forty-five thousand, seventy-two".