1211968567305 has 160 divisors (see below), whose sum is σ = 2402860204800. Its totient is φ = 581309042688.

The previous prime is 1211968567261. The next prime is 1211968567307. The reversal of 1211968567305 is 5037658691121.

1211968567305 is a `hidden beast` number, since 1 + 2 + 1 + 19 + 68 + 567 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 1211968567305 - 2⁶ = 1211968567241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1211968567307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 178779406 + ... + 178786184.

It is an arithmetic number, because the mean of its divisors is an integer number (15017876280).

Almost surely, 2^{1211968567305} is an apocalyptic number.

1211968567305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1211968567305 is a deficient number, since it is larger than the sum of its proper divisors (1190891637495).

1211968567305 is a wasteful number, since it uses less digits than its factorization.

1211968567305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1211968567305 in words is "one trillion, two hundred eleven billion, nine hundred sixty-eight million, five hundred sixty-seven thousand, three hundred five".