12069316224 has 288 divisors, whose sum is σ = 41902660800. Its totient is φ = 3447940608.

The previous prime is 12069316219. The next prime is 12069316253. The reversal of 12069316224 is 42261396021.

It is a happy number.

12069316224 is a `hidden beast` number, since 1 + 20 + 6 + 9 + 3 + 1 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12069316224² (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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1520137 + ... + 1528055.

It is an arithmetic number, because the mean of its divisors is an integer number (145495350).

Almost surely, 2^12069316224 is an apocalyptic number.

12069316224 is a gapful number since it is divisible by the number (14) 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 12069316224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20951330400).

12069316224 is an abundant number, since it is smaller than the sum of its proper divisors (29833344576).

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

12069316224 is an frugal number, since it uses more digits than its factorization.

12069316224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12069316224 in words is "twelve billion, sixty-nine million, three hundred sixteen thousand, two hundred twenty-four".