122061716201 has 16 divisors (see below), whose sum is σ = 132242317200. Its totient is φ = 112239790080.

The previous prime is 122061716141. The next prime is 122061716251. The reversal of 122061716201 is 102617160221.

It can be written as a sum of positive squares in 8 ways, for example, as 42015160576 + 80046555625 = 204976^2 + 282925^2 .

It is a cyclic number.

It is not a de Polignac number, because 122061716201 - 2¹⁴ = 122061699817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122061716251) 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, 240476 + ... + 549501.

It is an arithmetic number, because the mean of its divisors is an integer number (8265144825).

Almost surely, 2^122061716201 is an apocalyptic number.

It is an amenable number.

122061716201 is a deficient number, since it is larger than the sum of its proper divisors (10180600999).

122061716201 is a wasteful number, since it uses less digits than its factorization.

122061716201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790204.

The product of its (nonzero) digits is 2016, while the sum is 29.

Adding to 122061716201 its reverse (102617160221), we get a palindrome (224678876422).

The spelling of 122061716201 in words is "one hundred twenty-two billion, sixty-one million, seven hundred sixteen thousand, two hundred one".