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12213312332322 = 23416727110332647
BaseRepresentation
bin1011000110111010001000…
…1001001010001000100010
31121020120200201212100011010
42301232202021022020202
53100100330424113242
641550415045401350
72400245156636013
oct261564211121042
947216621770133
1012213312332322
113989700458342
121453031709256
136a7930a0887a
143031adacd00a
15162a69e3e89c
hexb1ba224a222

12213312332322 has 128 divisors (see below), whose sum is σ = 25523890495488. Its totient is φ = 3892846003200.

The previous prime is 12213312332279. The next prime is 12213312332329. The reversal of 12213312332322 is 22323321331221.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12213312332322.

It is not an unprimeable number, because it can be changed into a prime (12213312332329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4614019203 + ... + 4614021849.

It is an arithmetic number, because the mean of its divisors is an integer number (199405394496).

Almost surely, 212213312332322 is an apocalyptic number.

12213312332322 is an abundant number, since it is smaller than the sum of its proper divisors (13310578163166).

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

12213312332322 is a wasteful number, since it uses less digits than its factorization.

12213312332322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064.

The product of its digits is 15552, while the sum is 30.

Adding to 12213312332322 its reverse (22323321331221), we get a palindrome (34536633663543).

The spelling of 12213312332322 in words is "twelve trillion, two hundred thirteen billion, three hundred twelve million, three hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 41 67 82 123 134 201 246 271 402 542 813 1033 1626 2066 2647 2747 3099 5294 5494 6198 7941 8241 11111 15882 16482 18157 22222 33333 36314 42353 54471 66666 69211 84706 108527 108942 127059 138422 177349 207633 217054 254118 279943 325581 354698 415266 532047 559886 651162 717337 744437 839829 1064094 1434674 1488874 1679658 2152011 2233311 2734351 2837651 4304022 4466622 5468702 5675302 7271309 8203053 8512953 11477663 14542618 16406106 17025906 18756181 21813927 22955326 29410817 34432989 37512362 43627854 48061579 56268543 58821634 68865978 88232451 96123158 112108391 112537086 144184737 176464902 183201517 224216782 288369474 336325173 366403034 549604551 672650346 741009121 769003421 1099209102 1482018242 1538006842 1970524739 2223027363 2307010263 3941049478 4446054726 4614020526 5911574217 7511262197 11823148434 15022524394 22533786591 30381373961 45067573182 49647611107 60762747922 91144121883 99295222214 148942833321 182288243766 297885666642 2035552055387 4071104110774 6106656166161 12213312332322