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12211010102112 = 253792117630813
BaseRepresentation
bin1011000110110001100011…
…1010110110001101100000
31121020100202021210221000120
42301230120322312031200
53100031122041231422
641545354404520240
72400134133205413
oct261543072661540
947210667727016
1012211010102112
113988729953748
1214526aa6b0080
136a7654a62583
1430303203db7a
15162982c7c45c
hexb1b18eb6360

12211010102112 has 96 divisors (see below), whose sum is σ = 32613488570880. Its totient is φ = 3999766417920.

The previous prime is 12211010102099. The next prime is 12211010102141. The reversal of 12211010102112 is 21120101011221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12211010102091 and 12211010102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2215183 + ... + 5415630.

It is an arithmetic number, because the mean of its divisors is an integer number (339723839280).

Almost surely, 212211010102112 is an apocalyptic number.

12211010102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211010102112 is an abundant number, since it is smaller than the sum of its proper divisors (20402478468768).

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

12211010102112 is a wasteful number, since it uses less digits than its factorization.

12211010102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631116 (or 7631108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12211010102112 its reverse (21120101011221), we get a palindrome (33331111113333).

The spelling of 12211010102112 in words is "twelve trillion, two hundred eleven billion, ten million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 211 237 316 422 474 632 633 844 948 1264 1266 1688 1896 2528 2532 3376 3792 5064 6752 7584 10128 16669 20256 33338 50007 66676 100014 133352 200028 266704 400056 533408 800112 1600224 7630813 15261626 22892439 30523252 45784878 61046504 91569756 122093008 183139512 244186016 366279024 602834227 732558048 1205668454 1610101543 1808502681 2411336908 3220203086 3617005362 4822673816 4830304629 6440406172 7234010724 9645347632 9660609258 12880812344 14468021448 19290695264 19321218516 25761624688 28936042896 38642437032 51523249376 57872085792 77284874064 127198021897 154569748128 254396043794 381594065691 508792087588 763188131382 1017584175176 1526376262764 2035168350352 3052752525528 4070336700704 6105505051056 12211010102112