12001122300061 has 2 divisors, whose sum is σ = 12001122300062. Its totient is φ = 12001122300060.

The previous prime is 12001122300059. The next prime is 12001122300091. The reversal of 12001122300061 is 16000322110021.

12001122300061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11000134056025 + 1000988244036 = 3316645^2 + 1000494^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001122300061 - 2¹ = 12001122300059 is a prime.

It is a super-2 number, since 2×12001122300061² (a number of 27 digits) contains 22 as substring.

Together with 12001122300059, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001122300091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000561150030 + 6000561150031.

It is an arithmetic number, because the mean of its divisors is an integer number (6000561150031).

Almost surely, 2^{12001122300061} is an apocalyptic number.

It is an amenable number.

12001122300061 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001122300061 is an equidigital number, since it uses as much as digits as its factorization.

12001122300061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12001122300061 its reverse (16000322110021), we get a palindrome (28001444410082).

The spelling of 12001122300061 in words is "twelve trillion, one billion, one hundred twenty-two million, three hundred thousand, sixty-one".