2012120000413 has 2 divisors, whose sum is σ = 2012120000414. Its totient is φ = 2012120000412.

The previous prime is 2012120000393. The next prime is 2012120000437. The reversal of 2012120000413 is 3140000212102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1036248669369 + 975871331044 = 1017963^2 + 987862^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2012120000413 is a prime.

It is a super-2 number, since 2×2012120000413² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012120000213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006060000206 + 1006060000207.

It is an arithmetic number, because the mean of its divisors is an integer number (1006060000207).

Almost surely, 2^{2012120000413} is an apocalyptic number.

It is an amenable number.

2012120000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012120000413 is an equidigital number, since it uses as much as digits as its factorization.

2012120000413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2012120000413 its reverse (3140000212102), we get a palindrome (5152120212515).

The spelling of 2012120000413 in words is "two trillion, twelve billion, one hundred twenty million, four hundred thirteen", and thus it is an aban number.