12005363650061 has 2 divisors, whose sum is σ = 12005363650062. Its totient is φ = 12005363650060.

The previous prime is 12005363649977. The next prime is 12005363650121. The reversal of 12005363650061 is 16005636350021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9130368722500 + 2874994927561 = 3021650^2 + 1695581^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12005363650061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12005363649997 and 12005363650024.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12005363650961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6002681825030 + 6002681825031.

It is an arithmetic number, because the mean of its divisors is an integer number (6002681825031).

Almost surely, 2^{12005363650061} is an apocalyptic number.

It is an amenable number.

12005363650061 is a deficient number, since it is larger than the sum of its proper divisors (1).

12005363650061 is an equidigital number, since it uses as much as digits as its factorization.

12005363650061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 97200, while the sum is 38.

The spelling of 12005363650061 in words is "twelve trillion, five billion, three hundred sixty-three million, six hundred fifty thousand, sixty-one".