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14120014122 = 236171929983
BaseRepresentation
bin11010010011001111…
…00101000100101010
31100110001022001000000
431021213211010222
5212404210422442
610253040523430
71006623065634
oct151147450452
940401261000
1014120014122
115a9641a665
1228a0920576
13144043c356
1497d3d7a54
1557993cd4c
hex3499e512a

14120014122 has 112 divisors (see below), whose sum is σ = 35394312960. Its totient is φ = 4196520576.

The previous prime is 14120014121. The next prime is 14120014159. The reversal of 14120014122 is 22141002141.

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

It is a junction number, because it is equal to n+sod(n) for n = 14120014095 and 14120014104.

It is not an unprimeable number, because it can be changed into a prime (14120014121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 455943 + ... + 485925.

Almost surely, 214120014122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14120014122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17697156480).

14120014122 is an abundant number, since it is smaller than the sum of its proper divisors (21274298838).

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

14120014122 is a wasteful number, since it uses less digits than its factorization.

14120014122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30039 (or 30024 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14120014122 its reverse (22141002141), we get a palindrome (36261016263).

The spelling of 14120014122 in words is "fourteen billion, one hundred twenty million, fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 243 306 323 342 459 486 513 646 729 918 969 1026 1377 1458 1539 1938 2754 2907 3078 4131 4617 5814 8262 8721 9234 12393 13851 17442 24786 26163 27702 29983 52326 59966 78489 89949 156978 179898 235467 269847 470934 509711 539694 569677 809541 1019422 1139354 1529133 1619082 1709031 2428623 3058266 3418062 4587399 4857246 5127093 7285869 9174798 9684509 10254186 13762197 14571738 15381279 19369018 21857607 27524394 29053527 30762558 41286591 43715214 46143837 58107054 82573182 87160581 92287674 123859773 138431511 174321162 247719546 261481743 276863022 371579319 415294533 522963486 743158638 784445229 830589066 1568890458 2353335687 4706671374 7060007061 14120014122