12085944640 has 672 divisors, whose sum is σ = 39811951872. Its totient is φ = 3406233600.

The previous prime is 12085944601. The next prime is 12085944671. The reversal of 12085944640 is 4644958021.

It is a super-2 number, since 2×12085944640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198130210 + ... + 198130270.

It is an arithmetic number, because the mean of its divisors is an integer number (59243976).

Almost surely, 2^12085944640 is an apocalyptic number.

12085944640 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 12085944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19905975936).

12085944640 is an abundant number, since it is smaller than the sum of its proper divisors (27726007232).

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

12085944640 is a wasteful number, since it uses less digits than its factorization.

12085944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 12085944640 in words is "twelve billion, eighty-five million, nine hundred forty-four thousand, six hundred forty".