206122412263417 has 32 divisors (see below), whose sum is σ = 235356476904864. Its totient is φ = 178830272409600.

The previous prime is 206122412263343. The next prime is 206122412263433. The reversal of 206122412263417 is 714362214221602.

It can be written as a sum of positive squares in 16 ways, for example, as 89086018454521 + 117036393808896 = 9438539^2 + 10818336^2 .

It is not a de Polignac number, because 206122412263417 - 2¹¹ = 206122412261369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206122412263457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558114663 + ... + 558483859.

It is an arithmetic number, because the mean of its divisors is an integer number (7354889903277).

Almost surely, 2^{206122412263417} is an apocalyptic number.

It is an amenable number.

206122412263417 is a deficient number, since it is larger than the sum of its proper divisors (29234064641447).

206122412263417 is a wasteful number, since it uses less digits than its factorization.

206122412263417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372669.

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 206122412263417 in words is "two hundred six trillion, one hundred twenty-two billion, four hundred twelve million, two hundred sixty-three thousand, four hundred seventeen".