2012021320320 has 1024 divisors, whose sum is σ = 8233975296000. Its totient is φ = 459525242880.

The previous prime is 2012021320319. The next prime is 2012021320333. The reversal of 2012021320320 is 230231202102.

2012021320320 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 0 + 21 + 320 + 320 = 666.

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 = 2012021320293 and 2012021320302.

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 127 ways as a sum of consecutive naturals, for example, 292909846 + ... + 292916714.

It is an arithmetic number, because the mean of its divisors is an integer number (8040991500).

Almost surely, 2^{2012021320320} is an apocalyptic number.

2012021320320 is a gapful number since it is divisible by the number (20) 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 2012021320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116987648000).

2012021320320 is an abundant number, since it is smaller than the sum of its proper divisors (6221953975680).

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

2012021320320 is a wasteful number, since it uses less digits than its factorization.

2012021320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6980 counting only the distinct ones).

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

Adding to 2012021320320 its reverse (230231202102), we get a palindrome (2242252522422).

The spelling of 2012021320320 in words is "two trillion, twelve billion, twenty-one million, three hundred twenty thousand, three hundred twenty".