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123111011130312 = 23317883370192333
BaseRepresentation
bin11011111111100000000100…
…000101100001101111001000
3121010220022001001002000210110
4123333200010011201233020
5112114022322322132222
61113500230122114320
734634322423400422
oct3377400405415710
9533808031060713
10123111011130312
11362550a5316187
12119838a464b9a0
13539041aa8cb1a
142258867553812
15e375eeb2130c
hex6ff804161bc8

123111011130312 has 128 divisors (see below), whose sum is σ = 326342837208960. Its totient is φ = 38568479846400.

The previous prime is 123111011130311. The next prime is 123111011130347. The reversal of 123111011130312 is 213031110111321.

It is not an unprimeable number, because it can be changed into a prime (123111011130311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333290898 + ... + 1333383230.

It is an arithmetic number, because the mean of its divisors is an integer number (2549553415695).

Almost surely, 2123111011130312 is an apocalyptic number.

123111011130312 is a gapful number since it is divisible by the number (12) 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 123111011130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163171418604480).

123111011130312 is an abundant number, since it is smaller than the sum of its proper divisors (203231826078648).

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

123111011130312 is a wasteful number, since it uses less digits than its factorization.

123111011130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96943 (or 96939 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 123111011130312 its reverse (213031110111321), we get a palindrome (336142121241633).

The spelling of 123111011130312 in words is "one hundred twenty-three trillion, one hundred eleven billion, eleven million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 883 1766 2649 3532 3701 5298 7064 7402 10596 11103 14804 15011 21192 22206 29608 30022 44412 45033 60044 62917 88824 90066 92333 120088 125834 180132 184666 188751 251668 276999 360264 369332 377502 503336 553998 738664 755004 1107996 1510008 1569661 2215992 3139322 3267983 4708983 6278644 6535966 9417966 9803949 12557288 13071932 18835932 19607898 26143864 37671864 39215796 55555711 78431592 81530039 111111422 163060078 166667133 222222844 244590117 326120156 333334266 341724433 444445688 489180234 652240312 666668532 683448866 978360468 1025173299 1333337064 1366897732 1386010663 1956720936 2050346598 2733795464 2772021326 4100693196 4158031989 5544042652 5809315361 8201386392 8316063978 11088085304 11618630722 16632127956 17427946083 23237261444 33264255912 34855892166 46474522888 69711784332 139423568664 301742674339 603485348678 905228023017 1206970697356 1810456046034 2413941394712 3620912092068 5129625463763 7241824184136 10259250927526 15388876391289 20518501855052 30777752782578 41037003710104 61555505565156 123111011130312