12211010319961 has 2 divisors, whose sum is σ = 12211010319962. Its totient is φ = 12211010319960.

The previous prime is 12211010319929. The next prime is 12211010320027. The reversal of 12211010319961 is 16991301011221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12005143944336 + 205866375625 = 3464844^2 + 453725^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211010319961 - 2⁵ = 12211010319929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12211010319961.

It is not a weakly prime, because it can be changed into another prime (12211010319461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105505159980 + 6105505159981.

It is an arithmetic number, because the mean of its divisors is an integer number (6105505159981).

Almost surely, 2^{12211010319961} is an apocalyptic number.

It is an amenable number.

12211010319961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211010319961 is an equidigital number, since it uses as much as digits as its factorization.

12211010319961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 37.

The spelling of 12211010319961 in words is "twelve trillion, two hundred eleven billion, ten million, three hundred nineteen thousand, nine hundred sixty-one".