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12212102220201 = 3213971076050949
BaseRepresentation
bin1011000110110101101000…
…0000111100100110101001
31121020110120101211021101200
42301231122000330212221
53100040341132021301
641550055020434413
72400203164103232
oct261553200744651
947213511737350
1012212102220201
11398913a375184
1214529543a8a09
136a779a0b37b0
143030d70ca089
151629e8aa7c86
hexb1b5a03c9a9

12212102220201 has 24 divisors (see below), whose sum is σ = 19192444744200. Its totient is φ = 7437664152576.

The previous prime is 12212102220173. The next prime is 12212102220211. The reversal of 12212102220201 is 10202220121221.

It is a happy number.

12212102220201 is a `hidden beast` number, since 1 + 221 + 21 + 0 + 2 + 220 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21076070976 + 12191026149225 = 145176^2 + 3491565^2 .

It is not a de Polignac number, because 12212102220201 - 26 = 12212102220137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12212102220211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538014126 + ... + 538036823.

It is an arithmetic number, because the mean of its divisors is an integer number (799685197675).

Almost surely, 212212102220201 is an apocalyptic number.

It is an amenable number.

12212102220201 is a deficient number, since it is larger than the sum of its proper divisors (6980342523999).

12212102220201 is a wasteful number, since it uses less digits than its factorization.

12212102220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076051065 (or 1076051062 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12212102220201 its reverse (10202220121221), we get a palindrome (22414322341422).

The spelling of 12212102220201 in words is "twelve trillion, two hundred twelve billion, one hundred two million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 9 13 39 97 117 291 873 1261 3783 11349 1076050949 3228152847 9684458541 13988662337 41965987011 104376942053 125897961033 313130826159 939392478477 1356900246689 4070700740067 12212102220201