12530093033952 has 432 divisors, whose sum is σ = 39955722009840. Its totient is φ = 3844923199488.

The previous prime is 12530093033947. The next prime is 12530093033959. The reversal of 12530093033952 is 25933039003521.

12530093033952 is a `hidden beast` number, since 1 + 2 + 5 + 300 + 9 + 3 + 0 + 339 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 12530093033898 and 12530093033907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12530093033959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1034427448 + ... + 1034439560.

It is an arithmetic number, because the mean of its divisors is an integer number (92490097245).

Almost surely, 2^{12530093033952} is an apocalyptic number.

12530093033952 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 12530093033952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19977861004920).

12530093033952 is an abundant number, since it is smaller than the sum of its proper divisors (27425628975888).

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

12530093033952 is an equidigital number, since it uses as much as digits as its factorization.

12530093033952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12539 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 45.

The spelling of 12530093033952 in words is "twelve trillion, five hundred thirty billion, ninety-three million, thirty-three thousand, nine hundred fifty-two".