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12221002132001 = 1317243793113079
BaseRepresentation
bin1011000111010110110001…
…1111011010101000100001
31121021022112122120122012122
42301311230133122220201
53100212103021211001
641554130104434025
72400636553104035
oct261655437325041
947238478518178
1012221002132001
113991997114693
121454618a78915
136a8587bbc0b0
143036dd0ca1c5
15162d6a0b3b1b
hexb1d6c7daa21

12221002132001 has 96 divisors (see below), whose sum is σ = 14538325401600. Its totient is φ = 10202916971520.

The previous prime is 12221002131953. The next prime is 12221002132021. The reversal of 12221002132001 is 10023120012221.

It is not a de Polignac number, because 12221002132001 - 210 = 12221002130977 is a prime.

It is a super-2 number, since 2×122210021320012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12221002132021) 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, 3969144980 + ... + 3969148058.

It is an arithmetic number, because the mean of its divisors is an integer number (151440889600).

Almost surely, 212221002132001 is an apocalyptic number.

It is an amenable number.

12221002132001 is a deficient number, since it is larger than the sum of its proper divisors (2317323269599).

12221002132001 is a wasteful number, since it uses less digits than its factorization.

12221002132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12221002132001 its reverse (10023120012221), we get a palindrome (22244122144222).

The spelling of 12221002132001 in words is "twelve trillion, two hundred twenty-one billion, two million, one hundred thirty-two thousand, one".

Divisors: 1 13 17 43 79 221 289 311 559 731 1027 1343 3079 3397 3757 4043 5287 9503 12427 13373 17459 22831 24569 40027 44161 52343 57749 68731 89879 132397 161551 173849 227341 243241 296803 319397 417673 680459 750737 889831 957569 981733 1056467 1168427 1721161 2250749 2955433 3162133 3864797 4135097 5429749 7100441 10459363 11567803 12448397 12762529 13734071 16278673 17959939 29259737 38262733 41175467 50242361 53756261 70296649 75647951 92305733 135971719 177809171 211622749 233479207 276737441 305318963 497415529 535281071 699982939 913856437 983423363 1286015167 2311519223 3022755907 3252861893 3597586733 3969146519 9099778207 11899709963 16718197171 21862257839 39295826791 42287204609 55298652181 154696229519 284209351907 718882478353 940077087077 12221002132001