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12020102201112 = 23313117323394847
BaseRepresentation
bin1010111011101010010111…
…1010111111111100011000
31120120002222120220201121120
42232322211322333330120
53033414132130413422
641321543030005240
72350265223626565
oct256724572777430
946502876821546
1012020102201112
113914773369055
1214216abaa6820
1369264c2cbb45
142d7ac16a986c
1515ca0cb2845c
hexaeea5ebff18

12020102201112 has 128 divisors (see below), whose sum is σ = 30585702850560. Its totient is φ = 3936124175360.

The previous prime is 12020102201089. The next prime is 12020102201123. The reversal of 12020102201112 is 21110220102021.

It is a junction number, because it is equal to n+sod(n) for n = 12020102201091 and 12020102201100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126684073 + ... + 126778919.

It is an arithmetic number, because the mean of its divisors is an integer number (238950803520).

Almost surely, 212020102201112 is an apocalyptic number.

12020102201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12020102201112 is an abundant number, since it is smaller than the sum of its proper divisors (18565600649448).

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

12020102201112 is a wasteful number, since it uses less digits than its factorization.

12020102201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95393 (or 95389 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12020102201112 its reverse (21110220102021), we get a palindrome (33130322303133).

The spelling of 12020102201112 in words is "twelve trillion, twenty billion, one hundred two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 131 173 233 262 346 393 466 519 524 692 699 786 932 1038 1048 1384 1398 1572 1864 2076 2796 3144 4152 5592 22663 30523 40309 45326 61046 67989 80618 90652 91569 94847 120927 122092 135978 161236 181304 183138 189694 241854 244184 271956 284541 322472 366276 379388 483708 543912 569082 732552 758776 967416 1138164 2276328 5280479 10560958 12424957 15841437 16408531 21121916 22099351 24849914 31682874 32817062 37274871 42243832 44198702 49225593 49699828 63365748 65634124 66298053 74549742 88397404 98451186 99399656 126731496 131268248 132596106 149099484 176794808 196902372 265192212 298198968 393804744 530384424 2149517561 2895014981 3823187723 4299035122 5790029962 6448552683 7646375446 8598070244 8685044943 11469563169 11580059924 12897105366 15292750892 17196140488 17370089886 22939126338 23160119848 25794210732 30585501784 34740179772 45878252676 51588421464 69480359544 91756505352 500837591713 1001675183426 1502512775139 2003350366852 3005025550278 4006700733704 6010051100556 12020102201112