12345083712 has 168 divisors, whose sum is σ = 40112960160. Its totient is φ = 3598525440.

The previous prime is 12345083701. The next prime is 12345083743. The reversal of 12345083712 is 21738054321.

12345083712 is a `hidden beast` number, since 1 + 234 + 50 + 8 + 371 + 2 = 666.

12345083712 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 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 23 ways as a sum of consecutive naturals, for example, 98887 + ... + 185657.

It is an arithmetic number, because the mean of its divisors is an integer number (238767620).

Almost surely, 2^12345083712 is an apocalyptic number.

12345083712 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 12345083712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20056480080).

12345083712 is an abundant number, since it is smaller than the sum of its proper divisors (27767876448).

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

12345083712 is a wasteful number, since it uses less digits than its factorization.

12345083712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86821 (or 86808 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12345083712 in words is "twelve billion, three hundred forty-five million, eighty-three thousand, seven hundred twelve".