12220509749729 has 2 divisors, whose sum is σ = 12220509749730. Its totient is φ = 12220509749728.

The previous prime is 12220509749689. The next prime is 12220509749743. The reversal of 12220509749729 is 92794790502221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11246143339729 + 974366410000 = 3353527^2 + 987100^2 .

It is an emirp because it is prime and its reverse (92794790502221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12220509749729 is a prime.

It is a super-3 number, since 3×12220509749729³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12220509749029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110254874864 + 6110254874865.

It is an arithmetic number, because the mean of its divisors is an integer number (6110254874865).

Almost surely, 2^{12220509749729} is an apocalyptic number.

It is an amenable number.

12220509749729 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220509749729 is an equidigital number, since it uses as much as digits as its factorization.

12220509749729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11430720, while the sum is 59.

The spelling of 12220509749729 in words is "twelve trillion, two hundred twenty billion, five hundred nine million, seven hundred forty-nine thousand, seven hundred twenty-nine".