12385812672 has 168 divisors, whose sum is σ = 38508108912. Its totient is φ = 3790848000.

The previous prime is 12385812653. The next prime is 12385812679. The reversal of 12385812672 is 27621858321.

12385812672 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 581 + 2 + 67 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12385812679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386047 + ... + 416897.

It is an arithmetic number, because the mean of its divisors is an integer number (229214934).

Almost surely, 2^12385812672 is an apocalyptic number.

12385812672 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 12385812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19254054456).

12385812672 is an abundant number, since it is smaller than the sum of its proper divisors (26122296240).

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

12385812672 is a wasteful number, since it uses less digits than its factorization.

12385812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30927 (or 30914 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12385812672 in words is "twelve billion, three hundred eighty-five million, eight hundred twelve thousand, six hundred seventy-two".