2012000221 has 36 divisors (see below), whose sum is σ = 2592429084. Its totient is φ = 1555720320.

The previous prime is 2012000219. The next prime is 2012000227. The reversal of 2012000221 is 1220002102.

It can be written as a sum of positive squares in 2 ways, for example, as 1096272100 + 915728121 = 33110^2 + 30261^2 .

It is not a de Polignac number, because 2012000221 - 2¹ = 2012000219 is a prime.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2012000198 and 2012000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012000227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 811035 + ... + 813511.

It is an arithmetic number, because the mean of its divisors is an integer number (72011919).

Almost surely, 2^2012000221 is an apocalyptic number.

It is an amenable number.

2012000221 is a deficient number, since it is larger than the sum of its proper divisors (580428863).

2012000221 is a wasteful number, since it uses less digits than its factorization.

2012000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2012000221 is about 44855.3254474873. The cubic root of 2012000221 is about 1262.4359152649.

Adding to 2012000221 its reverse (1220002102), we get a palindrome (3232002323).

The spelling of 2012000221 in words is "two billion, twelve million, two hundred twenty-one", and thus it is an aban number.