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12212112102201 = 321129311031332167
BaseRepresentation
bin1011000110110101101010…
…0110101001001100111001
31121020110121002102022221200
42301231122212221030321
53100040401144232301
641550100012324413
72400203344101564
oct261553246511471
947213532368850
1012212112102201
113989144a04720
121452957773709
136a779c16372b
143030d853d4db
151629e98aac86
hexb1b5a9a9339

12212112102201 has 96 divisors (see below), whose sum is σ = 20748569886720. Its totient is φ = 6848398972800.

The previous prime is 12212112102163. The next prime is 12212112102221. The reversal of 12212112102201 is 10220121121221.

12212112102201 is a `hidden beast` number, since 1 + 2 + 21 + 211 + 210 + 220 + 1 = 666.

It is not a de Polignac number, because 12212112102201 - 26 = 12212112102137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12212112102221) 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 95 ways as a sum of consecutive naturals, for example, 8501020 + ... + 9833186.

It is an arithmetic number, because the mean of its divisors is an integer number (216130936320).

Almost surely, 212212112102201 is an apocalyptic number.

12212112102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212112102201 is a deficient number, since it is larger than the sum of its proper divisors (8536457784519).

12212112102201 is a wasteful number, since it uses less digits than its factorization.

12212112102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332347 (or 1332344 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12212112102201 its reverse (10220121121221), we get a palindrome (22432233223422).

The spelling of 12212112102201 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, one hundred two thousand, two hundred one".

Divisors: 1 3 9 11 29 31 33 87 93 99 103 261 279 309 319 341 899 927 957 1023 1133 2697 2871 2987 3069 3193 3399 8091 8961 9579 9889 10197 26883 28737 29667 32857 35123 89001 92597 98571 105369 277791 295713 316107 833373 1018567 1332167 3055701 3996501 9167103 11989503 14653837 38632843 41297177 43961511 115898529 123891531 131884533 137213201 347695587 371674593 411639603 424961273 454268947 1197618133 1234918809 1274883819 1362806841 1509345211 3592854399 3824651457 3979182829 4088420523 4253609231 4528035633 10778563197 11937548487 12760827693 13173799463 13584106899 35812645461 38282483079 39521398389 43771011119 46789701541 118564195167 123354667699 131313033357 140369104623 370064003097 393939100071 421107313869 1110192009291 1356901344689 4070704034067 12212112102201