2012120305 has 32 divisors (see below), whose sum is σ = 2669835168. Its totient is φ = 1446297600.

The previous prime is 2012120263. The next prime is 2012120329. The reversal of 2012120305 is 5030212102.

It can be written as a sum of positive squares in 16 ways, for example, as 1159538704 + 852581601 = 34052^2 + 29199^2 .

It is not a de Polignac number, because 2012120305 - 2⁷ = 2012120177 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 2283465 + ... + 2284345.

It is an arithmetic number, because the mean of its divisors is an integer number (83432349).

Almost surely, 2^2012120305 is an apocalyptic number.

It is an amenable number.

2012120305 is a deficient number, since it is larger than the sum of its proper divisors (657714863).

2012120305 is a wasteful number, since it uses less digits than its factorization.

2012120305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2012120305 is about 44856.6639976715. The cubic root of 2012120305 is about 1262.4610304607.

Adding to 2012120305 its reverse (5030212102), we get a palindrome (7042332407).

The spelling of 2012120305 in words is "two billion, twelve million, one hundred twenty thousand, three hundred five".