2012301320000 has 280 divisors, whose sum is σ = 5158910276520. Its totient is φ = 778014720000.

The previous prime is 2012301319961. The next prime is 2012301320033. The reversal of 2012301320000 is 231032102.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 1982711815744 + 29589504256 = 1408088^2 + 172016^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178754372 + ... + 178765628.

It is an arithmetic number, because the mean of its divisors is an integer number (18424679559).

Almost surely, 2^{2012301320000} is an apocalyptic number.

2012301320000 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 2012301320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579455138260).

2012301320000 is an abundant number, since it is smaller than the sum of its proper divisors (3146608956520).

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

2012301320000 is a wasteful number, since it uses less digits than its factorization.

2012301320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11439 (or 11414 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2012301320000 its reverse (231032102), we get a palindrome (2012532352102).

The spelling of 2012301320000 in words is "two trillion, twelve billion, three hundred one million, three hundred twenty thousand".