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2111222112012 = 22331314711022243
BaseRepresentation
bin11110101110001110101…
…001001101111100001100
321110211102200212112212000
4132232032221031330030
5234042240330041022
64253514304512300
7305350023600216
oct36561651157414
97424380775760
102111222112012
1174440092a822
122a120401b690
13124119cc8280
14742800bb5b6
1539db752c6ac
hex1eb8ea4df0c

2111222112012 has 96 divisors (see below), whose sum is σ = 5898593218560. Its totient is φ = 649164559680.

The previous prime is 2111222112011. The next prime is 2111222112029. The reversal of 2111222112012 is 2102112221112.

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 (2111222112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1554163 + ... + 2576405.

It is an arithmetic number, because the mean of its divisors is an integer number (61443679360).

Almost surely, 22111222112012 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 2111222112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949296609280).

2111222112012 is an abundant number, since it is smaller than the sum of its proper divisors (3787371106548).

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

2111222112012 is a wasteful number, since it uses less digits than its factorization.

2111222112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023740 (or 1023732 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2111222112012 its reverse (2102112221112), we get a palindrome (4213334333124).

The spelling of 2111222112012 in words is "two trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1471 2942 4413 5884 8826 13239 17652 19123 26478 38246 39717 52956 57369 76492 79434 114738 158868 172107 229476 344214 516321 688428 1022243 1032642 2044486 2065284 3066729 4088972 6133458 9200187 12266916 13289159 18400374 26578318 27600561 36800748 39867477 53156636 55201122 79734954 110402244 119602431 159469908 239204862 358807293 478409724 717614586 1435229172 1503719453 3007438906 4511158359 6014877812 9022316718 13533475077 18044633436 19548352889 27066950154 39096705778 40600425231 54133900308 58645058667 78193411556 81200850462 117290117334 162401700924 175935176001 234580234668 351870352002 527805528003 703740704004 1055611056006 2111222112012