7122768672217 has 16 divisors (see below), whose sum is σ = 7784573569344. Its totient is φ = 6463345824000.

The previous prime is 7122768672209. The next prime is 7122768672221.

7122768672217 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 7122768672217 - 2³ = 7122768672209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7122768672247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84229917 + ... + 84314437.

It is an arithmetic number, because the mean of its divisors is an integer number (486535848084).

Almost surely, 2^{7122768672217} is an apocalyptic number.

It is an amenable number.

7122768672217 is a deficient number, since it is larger than the sum of its proper divisors (661804897127).

7122768672217 is a wasteful number, since it uses less digits than its factorization.

7122768672217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98520.

The product of its digits is 11063808, while the sum is 58.

The spelling of 7122768672217 in words is "seven trillion, one hundred twenty-two billion, seven hundred sixty-eight million, six hundred seventy-two thousand, two hundred seventeen".