12085323120 has 960 divisors, whose sum is σ = 50160539520. Its totient is φ = 2675441664.

The previous prime is 12085323109. The next prime is 12085323127. The reversal of 12085323120 is 2132358021.

12085323120 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 532 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085323127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124590912 + ... + 124591008.

It is an arithmetic number, because the mean of its divisors is an integer number (52250562).

Almost surely, 2^12085323120 is an apocalyptic number.

12085323120 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 12085323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25080269760).

12085323120 is an abundant number, since it is smaller than the sum of its proper divisors (38075216400).

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

12085323120 is a wasteful number, since it uses less digits than its factorization.

12085323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12085323120 in words is "twelve billion, eighty-five million, three hundred twenty-three thousand, one hundred twenty".