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122212121321103 = 3111947277118712613
BaseRepresentation
bin11011110010011010111010…
…000101000001111010001111
3121000201100211212022111000120
4123302122322011001322033
5112004310411024233403
61111531250134000023
734512351203155632
oct3362327205017217
9530640755274016
10122212121321103
1135a38962471140
12118596401a6013
135326727312058
14222715379dc19
15e1e03ecdee53
hex6f26ba141e8f

122212121321103 has 128 divisors (see below), whose sum is σ = 191966980423680. Its totient is φ = 68365668625920.

The previous prime is 122212121321089. The next prime is 122212121321111. The reversal of 122212121321103 is 301123121212221.

It is not a de Polignac number, because 122212121321103 - 25 = 122212121321071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212121321123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9689371425 + ... + 9689384037.

It is an arithmetic number, because the mean of its divisors is an integer number (1499742034560).

Almost surely, 2122212121321103 is an apocalyptic number.

122212121321103 is a deficient number, since it is larger than the sum of its proper divisors (69754859102577).

122212121321103 is a wasteful number, since it uses less digits than its factorization.

122212121321103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14157.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 122212121321103 its reverse (301123121212221), we get a palindrome (423335242533324).

The spelling of 122212121321103 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred three".

Divisors: 1 3 11 19 33 47 57 141 209 277 517 627 831 893 1187 1551 2679 3047 3561 5263 9141 9823 12613 13019 13057 15789 22553 29469 37839 39057 39171 55789 57893 67659 138743 143209 167367 173679 239647 247361 248083 328799 416229 429627 592811 613679 718941 742083 744249 986397 1059991 1778433 1841037 2636117 2720971 3179973 3493801 3616789 6247181 6520921 7908351 8162913 10481403 10850367 11263409 11659901 14971631 15453553 18741543 19562763 33790227 34979703 38431811 44914893 46360659 66382219 68718991 115295433 123897499 164208647 164687941 169989083 199146657 206156973 284460989 293617507 371692497 492625941 494063823 509967249 703666657 730204409 853382967 880852521 1806295117 2110999971 2190613227 3119964293 3129070879 3229792577 4147141787 5418885351 7740333227 9359892879 9387212637 9689377731 12441425361 13369666483 23220999681 34319607223 40108999449 45618559657 78795693953 102958821669 136855678971 147066331313 194915663989 236387081859 441198993939 584746991967 866752633483 2144072303879 2600257900449 3703397615791 6432216911637 11110192847373 40737373773701 122212121321103