12084338688 has 224 divisors, whose sum is σ = 33688690560. Its totient is φ = 3849584640.

The previous prime is 12084338681. The next prime is 12084338753. The reversal of 12084338688 is 88683348021.

It is a happy number.

It is a super-2 number, since 2×12084338688² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12084338688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12084338681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67510183 + ... + 67510361.

It is an arithmetic number, because the mean of its divisors is an integer number (150395940).

Almost surely, 2^12084338688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12084338688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844345280).

12084338688 is an abundant number, since it is smaller than the sum of its proper divisors (21604351872).

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

12084338688 is an equidigital number, since it uses as much as digits as its factorization.

12084338688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

It can be divided in two parts, 1208433 and 8688, that added together give a palindrome (1217121).

The spelling of 12084338688 in words is "twelve billion, eighty-four million, three hundred thirty-eight thousand, six hundred eighty-eight".