12583346112 has 140 divisors (see below), whose sum is σ = 37858755880. Its totient is φ = 4131730944.

The previous prime is 12583346081. The next prime is 12583346119. The reversal of 12583346112 is 21164338521.

12583346112 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 3 + 34 + 611 + 2 = 666.

12583346112 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12583346119) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 329214 + ... + 365442.

Almost surely, 2^12583346112 is an apocalyptic number.

12583346112 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 12583346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18929377940).

12583346112 is an abundant number, since it is smaller than the sum of its proper divisors (25275409768).

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

12583346112 is an equidigital number, since it uses as much as digits as its factorization.

12583346112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36320 (or 36301 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 12583346112 in words is "twelve billion, five hundred eighty-three million, three hundred forty-six thousand, one hundred twelve".