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211111201212012 = 2232437915791109321
BaseRepresentation
bin110000000000000100101000…
…001010000000011001101100
31000200111000220120222121100200
4300000010220022000121230
5210132321220002241022
62024555051424553500
762316165240305343
oct6000045012003154
91020430816877320
10211111201212012
11612a2837476772
121b816922182890
1390a4915a09b6a
143a1bb9db06b5a
15196174801abac
hexc0012828066c

211111201212012 has 144 divisors (see below), whose sum is σ = 553004619847680. Its totient is φ = 67858911993600.

The previous prime is 211111201211951. The next prime is 211111201212013. The reversal of 211111201212012 is 210212102111112.

It is a happy number.

211111201212012 is a `hidden beast` number, since 211 + 11 + 120 + 121 + 201 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211111201212013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1931058312 + ... + 1931167632.

Almost surely, 2211111201212012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211111201212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276502309923840).

211111201212012 is an abundant number, since it is smaller than the sum of its proper divisors (341893418635668).

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

211111201212012 is a wasteful number, since it uses less digits than its factorization.

211111201212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125244 (or 125239 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211111201212012 its reverse (210212102111112), we get a palindrome (421323303323124).

The spelling of 211111201212012 in words is "two hundred eleven trillion, one hundred eleven billion, two hundred one million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 79 86 129 158 172 237 258 316 387 474 516 711 774 948 1422 1548 2844 3397 6794 10191 13588 15791 20382 30573 31582 40764 47373 61146 63164 94746 109321 122292 142119 189492 218642 284238 327963 437284 568476 655926 679013 983889 1247489 1311852 1358026 1967778 2037039 2494978 2716052 3742467 3935556 4074078 4700803 4989956 6111117 7484934 8148156 8636359 9401606 11227401 12222234 14102409 14969868 17272718 18803212 22454802 24444468 25909077 28204818 34545436 42307227 44909604 51818154 53642027 56409636 77727231 84614454 103636308 107284054 155454462 160926081 169228908 214568108 310908924 321852162 371363437 482778243 643704324 742726874 965556486 1114090311 1485453748 1726287911 1931112972 2228180622 3342270933 3452575822 4456361244 5178863733 6684541866 6905151644 10357727466 13369083732 15536591199 20715454932 31073182398 62146364796 74230380173 136376744969 148460760346 222691140519 272753489938 296921520692 409130234907 445382281038 545506979876 668073421557 818260469814 890764562076 1227390704721 1336146843114 1636520939628 2454781409442 2672293686228 4909562818884 5864200033667 11728400067334 17592600101001 23456800134668 35185200202002 52777800303003 70370400404004 105555600606006 211111201212012