12003120020320 has 384 divisors, whose sum is σ = 33611021684352. Its totient is φ = 3993344409600.

The previous prime is 12003120020263. The next prime is 12003120020321. The reversal of 12003120020320 is 2302002130021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12003120020294 and 12003120020303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003120020321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1512295392 + ... + 1512303328.

It is an arithmetic number, because the mean of its divisors is an integer number (87528702303).

Almost surely, 2^{12003120020320} is an apocalyptic number.

12003120020320 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 12003120020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805510842176).

12003120020320 is an abundant number, since it is smaller than the sum of its proper divisors (21607901664032).

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

12003120020320 is a wasteful number, since it uses less digits than its factorization.

12003120020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554 (or 8546 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12003120020320 its reverse (2302002130021), we get a palindrome (14305122150341).

The spelling of 12003120020320 in words is "twelve trillion, three billion, one hundred twenty million, twenty thousand, three hundred twenty".