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123112112011140 = 223572340712290833
BaseRepresentation
bin11011111111100001000101…
…101101000011011110000100
3121010220101212202120120101110
4123333201011231003132010
5112114032101133324030
61113500531245525020
734634361621622500
oct3377410555033604
9533811782516343
10123112112011140
113625560a78224a
1211983b51273770
135390564b8b6b5
14225892d841300
15e376665cd1b0
hex6ff845b43784

123112112011140 has 144 divisors (see below), whose sum is σ = 401111465916672. Its totient is φ = 28131649588224.

The previous prime is 123112112011121. The next prime is 123112112011153. The reversal of 123112112011140 is 41110211211321.

It is a super-3 number, since 3×1231121120111403 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3871164 + ... + 16161996.

It is an arithmetic number, because the mean of its divisors is an integer number (2785496291088).

Almost surely, 2123112112011140 is an apocalyptic number.

123112112011140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123112112011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200555732958336).

123112112011140 is an abundant number, since it is smaller than the sum of its proper divisors (277999353905532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123112112011140 is a wasteful number, since it uses less digits than its factorization.

123112112011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12294266 (or 12294257 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 123112112011140 its reverse (41110211211321), we get a palindrome (164222323222461).

The spelling of 123112112011140 in words is "one hundred twenty-three trillion, one hundred twelve billion, one hundred twelve million, eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3407 6814 10221 13628 17035 20442 23849 34070 40884 47698 51105 68140 71547 95396 102210 119245 143094 166943 204420 238490 286188 333886 357735 476980 500829 667772 715470 834715 1001658 1430940 1669430 2003316 2504145 3338860 5008290 10016580 12290833 24581666 36872499 49163332 61454165 73744998 86035831 122908330 147489996 172071662 184362495 245816660 258107493 344143324 368724990 430179155 516214986 602250817 737449980 860358310 1032429972 1204501634 1290537465 1720716620 1806752451 2409003268 2581074930 3011254085 3613504902 5162149860 6022508170 7227009804 9033762255 12045016340 18067524510 36135049020 41874868031 83749736062 125624604093 167499472124 209374340155 251249208186 293124076217 418748680310 502498416372 586248152434 628123020465 837497360620 879372228651 1172496304868 1256246040930 1465620381085 1758744457302 2051868533519 2512492081860 2931240762170 3517488914604 4103737067038 4396861143255 5862481524340 6155605600557 8207474134076 8793722286510 10259342667595 12311211201114 17587444573020 20518685335190 24622422402228 30778028002785 41037370670380 61556056005570 123112112011140