12105586512 has 80 divisors (see below), whose sum is σ = 34782436480. Its totient is φ = 4031140608.

The previous prime is 12105586501. The next prime is 12105586523. The reversal of 12105586512 is 21568550121.

12105586512 is a `hidden beast` number, since 1 + 2 + 10 + 55 + 86 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (12105586501) and next prime (12105586523).

It is a super-2 number, since 2×12105586512² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432693 + ... + 459819.

It is an arithmetic number, because the mean of its divisors is an integer number (434780456).

Almost surely, 2^12105586512 is an apocalyptic number.

12105586512 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 12105586512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17391218240).

12105586512 is an abundant number, since it is smaller than the sum of its proper divisors (22676849968).

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

12105586512 is a wasteful number, since it uses less digits than its factorization.

12105586512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28177 (or 28165 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 12105586512 in words is "twelve billion, one hundred five million, five hundred eighty-six thousand, five hundred twelve".