12205320000061 has 2 divisors, whose sum is σ = 12205320000062. Its totient is φ = 12205320000060.

The previous prime is 12205320000043. The next prime is 12205320000073. The reversal of 12205320000061 is 16000002350221.

12205320000061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6871502036025 + 5333817964036 = 2621355^2 + 2309506^2 .

It is a cyclic number.

It is not a de Polignac number, because 12205320000061 - 2¹⁵ = 12205319967293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12205319999987 and 12205320000041.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12205320000161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6102660000030 + 6102660000031.

It is an arithmetic number, because the mean of its divisors is an integer number (6102660000031).

Almost surely, 2^{12205320000061} is an apocalyptic number.

It is an amenable number.

12205320000061 is a deficient number, since it is larger than the sum of its proper divisors (1).

12205320000061 is an equidigital number, since it uses as much as digits as its factorization.

12205320000061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 12205320000061 its reverse (16000002350221), we get a palindrome (28205322350282).

The spelling of 12205320000061 in words is "twelve trillion, two hundred five billion, three hundred twenty million, sixty-one", and thus it is an aban number.