2012301312 has 192 divisors, whose sum is σ = 6227020800. Its totient is φ = 565985280.

The previous prime is 2012301301. The next prime is 2012301337. The reversal of 2012301312 is 2131032102.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2012301291 and 2012301300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3053239 + ... + 3053897.

It is an arithmetic number, because the mean of its divisors is an integer number (32432400).

Almost surely, 2^2012301312 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 2012301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113510400).

2012301312 is an abundant number, since it is smaller than the sum of its proper divisors (4214719488).

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

2012301312 is an equidigital number, since it uses as much as digits as its factorization.

2012301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2012301312 is about 44858.6815677857. The cubic root of 2012301312 is about 1262.4988856246.

Adding to 2012301312 its reverse (2131032102), we get a palindrome (4143333414).

The spelling of 2012301312 in words is "two billion, twelve million, three hundred one thousand, three hundred twelve".