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12221021312114 = 219617180539221
BaseRepresentation
bin1011000111010110110110…
…1000100101010001110010
31121021022120222200002101012
42301311231220211101302
53100212122423441424
641554132031510522
72400640205116526
oct261655550452162
947238528602335
1012221021312114
1139919a6a24a1a
121454623388442
136a858bb76284
1430370187dd86
15162d6bb01b0e
hexb1d6da25472

12221021312114 has 64 divisors (see below), whose sum is σ = 19893544945920. Its totient is φ = 5612501664000.

The previous prime is 12221021312113. The next prime is 12221021312131. The reversal of 12221021312114 is 41121312012221.

12221021312114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122210213121142 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12221021312114.

It is not an unprimeable number, because it can be changed into a prime (12221021312113) 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, 1325342024 + ... + 1325351244.

It is an arithmetic number, because the mean of its divisors is an integer number (310836639780).

Almost surely, 212221021312114 is an apocalyptic number.

12221021312114 is a deficient number, since it is larger than the sum of its proper divisors (7672523633806).

12221021312114 is a wasteful number, since it uses less digits than its factorization.

12221021312114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17427.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 12221021312114 its reverse (41121312012221), we get a palindrome (53342333324335).

The spelling of 12221021312114 in words is "twelve trillion, two hundred twenty-one billion, twenty-one million, three hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 19 38 61 71 122 142 1159 1349 2318 2698 4331 8053 8662 9221 16106 18442 82289 153007 164578 175199 306014 350398 491233 562481 571763 654691 982466 1124962 1143526 1309382 9333427 10687139 10863497 12439129 18666854 21374278 21726994 24878258 34877543 39936151 69755086 74256713 79872302 148513426 662673317 758786869 1325346634 1410877547 1517573738 2821755094 4529659493 5272226623 9059318986 10544453246 86063530367 100172305837 172127060734 200344611674 321605824003 643211648006 6110510656057 12221021312114