2012300320032 has 288 divisors, whose sum is σ = 6093531990000. Its totient is φ = 628710211584.

The previous prime is 2012300319889. The next prime is 2012300320067. The reversal of 2012300320032 is 2300230032102.

It is a happy number.

2012300320032 is a `hidden beast` number, since 2 + 0 + 12 + 300 + 320 + 0 + 32 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1916574435216 + 95725884816 = 1384404^2 + 309396^2 .

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

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 = 2012300319987 and 2012300320014.

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 47 ways as a sum of consecutive naturals, for example, 141216844 + ... + 141231092.

Almost surely, 2^{2012300320032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012300320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046765995000).

2012300320032 is an abundant number, since it is smaller than the sum of its proper divisors (4081231669968).

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

2012300320032 is a wasteful number, since it uses less digits than its factorization.

2012300320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14788 (or 14777 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2012300320032 its reverse (2300230032102), we get a palindrome (4312530352134).

It can be divided in two parts, 2012300 and 320032, that added together give a palindrome (2332332).

The spelling of 2012300320032 in words is "two trillion, twelve billion, three hundred million, three hundred twenty thousand, thirty-two".