2012122011761 has 2 divisors, whose sum is σ = 2012122011762. Its totient is φ = 2012122011760.

The previous prime is 2012122011719. The next prime is 2012122011769. The reversal of 2012122011761 is 1671102212102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1079895072400 + 932226939361 = 1039180^2 + 965519^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2012122011761 is a prime.

It is a super-2 number, since 2×2012122011761² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2012122011761.

It is not a weakly prime, because it can be changed into another prime (2012122011769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006061005880 + 1006061005881.

It is an arithmetic number, because the mean of its divisors is an integer number (1006061005881).

Almost surely, 2^{2012122011761} is an apocalyptic number.

It is an amenable number.

2012122011761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012122011761 is an equidigital number, since it uses as much as digits as its factorization.

2012122011761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 2012122011761 its reverse (1671102212102), we get a palindrome (3683224223863).

The spelling of 2012122011761 in words is "two trillion, twelve billion, one hundred twenty-two million, eleven thousand, seven hundred sixty-one".