12012223000320 has 576 divisors, whose sum is σ = 45154494887040. Its totient is φ = 3013474516992.

The previous prime is 12012223000301. The next prime is 12012223000367. The reversal of 12012223000320 is 2300032221021.

12012223000320 is a `hidden beast` number, since 1 + 20 + 1 + 2 + 22 + 300 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12012223000293 and 12012223000302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2193209422 + ... + 2193214898.

It is an arithmetic number, because the mean of its divisors is an integer number (78393220290).

Almost surely, 2^{12012223000320} is an apocalyptic number.

12012223000320 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 12012223000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22577247443520).

12012223000320 is an abundant number, since it is smaller than the sum of its proper divisors (33142271886720).

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

12012223000320 is a wasteful number, since it uses less digits than its factorization.

12012223000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9257 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12012223000320 its reverse (2300032221021), we get a palindrome (14312255221341).

The spelling of 12012223000320 in words is "twelve trillion, twelve billion, two hundred twenty-three million, three hundred twenty", and thus it is an aban number.