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122266222662221 = 1122117703621697
BaseRepresentation
bin11011110011001101010010…
…110001010001001001001101
3121000220112111021112100222022
4123303031102301101021031
5112011202211000142341
61112012154405255525
734516304656034261
oct3363152261211115
9530815437470868
10122266222662221
1135a598a5245500
121186801a7045a5
13532b869996531
142229a06aa40a1
15e20659776e4b
hex6f3352c5124d

122266222662221 has 24 divisors (see below), whose sum is σ = 135046473008832. Its totient is φ = 110609789875200.

The previous prime is 122266222662197. The next prime is 122266222662289.

122266222662221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122266222662221 - 214 = 122266222645837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122266222692221) 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 23 ways as a sum of consecutive naturals, for example, 196354445 + ... + 196976141.

It is an arithmetic number, because the mean of its divisors is an integer number (5626936375368).

Almost surely, 2122266222662221 is an apocalyptic number.

122266222662221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122266222662221 is a deficient number, since it is larger than the sum of its proper divisors (12780250346611).

122266222662221 is a wasteful number, since it uses less digits than its factorization.

122266222662221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629633 (or 629622 counting only the distinct ones).

The product of its digits is 663552, while the sum is 44.

The spelling of 122266222662221 in words is "one hundred twenty-two trillion, two hundred sixty-six billion, two hundred twenty-two million, six hundred sixty-two thousand, two hundred twenty-one".

Divisors: 1 11 121 211 2321 7703 25531 84733 621697 932063 1625333 6838667 17878663 75225337 131178067 196665293 1442958737 4788931991 15872546107 52678251901 579460770911 1010464650101 11115111151111 122266222662221