12504083160 has 128 divisors (see below), whose sum is σ = 39775795200. Its totient is φ = 3135790080.

The previous prime is 12504083159. The next prime is 12504083177. The reversal of 12504083160 is 6138040521.

12504083160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292345 + ... + 332375.

It is an arithmetic number, because the mean of its divisors is an integer number (310748400).

Almost surely, 2^12504083160 is an apocalyptic number.

12504083160 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 12504083160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19887897600).

12504083160 is an abundant number, since it is smaller than the sum of its proper divisors (27271712040).

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

12504083160 is a wasteful number, since it uses less digits than its factorization.

12504083160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40201 (or 40197 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 12504083160 in words is "twelve billion, five hundred four million, eighty-three thousand, one hundred sixty".