2012000093 has 16 divisors (see below), whose sum is σ = 2103358320. Its totient is φ = 1923072000.

The previous prime is 2012000083. The next prime is 2012000113. The reversal of 2012000093 is 3900002102.

It can be written as a sum of positive squares in 8 ways, for example, as 1643524 + 2010356569 = 1282^2 + 44837^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012000093 - 2¹⁶ = 2011934557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012000033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399173 + ... + 404181.

It is an arithmetic number, because the mean of its divisors is an integer number (131459895).

Almost surely, 2^2012000093 is an apocalyptic number.

It is an amenable number.

2012000093 is a deficient number, since it is larger than the sum of its proper divisors (91358227).

2012000093 is a wasteful number, since it uses less digits than its factorization.

2012000093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5248.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2012000093 is about 44855.3240206779. The cubic root of 2012000093 is about 1262.4358884936.

Adding to 2012000093 its reverse (3900002102), we get a palindrome (5912002195).

The spelling of 2012000093 in words is "two billion, twelve million, ninety-three", and thus it is an aban number and an uban number.