12085744320 has 840 divisors, whose sum is σ = 48594142080. Its totient is φ = 2846638080.

The previous prime is 12085744277. The next prime is 12085744361. The reversal of 12085744320 is 2344758021.

It is a happy number.

12085744320 is a `hidden beast` number, since 1 + 20 + 8 + 574 + 43 + 20 = 666.

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 119 ways as a sum of consecutive naturals, for example, 135794836 + ... + 135794924.

Almost surely, 2^12085744320 is an apocalyptic number.

12085744320 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 12085744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24297071040).

12085744320 is an abundant number, since it is smaller than the sum of its proper divisors (36508397760).

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

12085744320 is a wasteful number, since it uses less digits than its factorization.

12085744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12085744320 in words is "twelve billion, eighty-five million, seven hundred forty-four thousand, three hundred twenty".