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12332012022 = 2341179251349
BaseRepresentation
bin10110111110000101…
…11001000111110110
31011211102212010020000
423133002321013312
5200223443341042
65355405452130
7614412241551
oct133702710766
934742763200
1012332012022
115259110180
122481b71046
131216b90345
1484db65698
154c29a474c
hex2df0b91f6

12332012022 has 160 divisors (see below), whose sum is σ = 30735936000. Its totient is φ = 3664440000.

The previous prime is 12332011987. The next prime is 12332012047. The reversal of 12332012022 is 22021023321.

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 = 12332011986 and 12332012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35335104 + ... + 35335452.

It is an arithmetic number, because the mean of its divisors is an integer number (192099600).

Almost surely, 212332012022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367968000).

12332012022 is an abundant number, since it is smaller than the sum of its proper divisors (18403923978).

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

12332012022 is a wasteful number, since it uses less digits than its factorization.

12332012022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12332012022 its reverse (22021023321), we get a palindrome (34353035343).

The spelling of 12332012022 in words is "twelve billion, three hundred thirty-two million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 81 99 158 162 198 237 251 297 349 474 502 594 698 711 753 869 891 1047 1422 1506 1738 1782 2094 2133 2259 2607 2761 3141 3839 4266 4518 5214 5522 6282 6399 6777 7678 7821 8283 9423 11517 12798 13554 15642 16566 18846 19829 20331 23034 23463 24849 27571 28269 34551 39658 40662 46926 49698 55142 56538 59487 69102 70389 74547 82713 87599 103653 118974 140778 149094 165426 175198 178461 207306 218119 223641 248139 262797 303281 310959 356922 436238 447282 496278 525594 535383 606562 621918 654357 744417 788391 909843 963589 1070766 1308714 1488834 1576782 1606149 1819686 1927178 1963071 2233251 2365173 2729529 2890767 3212298 3926142 4466502 4730346 5459058 5781534 5889213 6920321 7095519 8188587 8672301 11778426 13840642 14191038 16377174 17344602 17667639 20760963 24565761 26016903 35335278 41521926 49131522 52033806 62282889 76123531 78050709 124565778 152247062 156101418 186848667 228370593 373697334 456741186 560546001 685111779 1121092002 1370223558 2055335337 4110670674 6166006011 12332012022