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12022202100012 = 22313192213477557
BaseRepresentation
bin1010111011110010001100…
…0101011110100100101100
31120120022101221020122100220
42232330203011132210230
53033432432214200022
641322531242051340
72350401242523036
oct256744305364454
946508357218326
1012022202100012
113915650738195
121421b971a9b50
136928c5382980
142d7c4052ac56
1515cad217085c
hexaef2315e92c

12022202100012 has 72 divisors (see below), whose sum is σ = 31883300242416. Its totient is φ = 3504447559296.

The previous prime is 12022202099909. The next prime is 12022202100023. The reversal of 12022202100012 is 21000120222021.

It is a junction number, because it is equal to n+sod(n) for n = 12022202099964 and 12022202100000.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 106682463 + ... + 106795094.

It is an arithmetic number, because the mean of its divisors is an integer number (442823614478).

Almost surely, 212022202100012 is an apocalyptic number.

12022202100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12022202100012 is an abundant number, since it is smaller than the sum of its proper divisors (19861098142404).

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

12022202100012 is a wasteful number, since it uses less digits than its factorization.

12022202100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213477615 (or 213477594 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12022202100012 its reverse (21000120222021), we get a palindrome (33022322322033).

The spelling of 12022202100012 in words is "twelve trillion, twenty-two billion, two hundred two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 722 741 988 1083 1444 1482 2166 2964 4332 4693 9386 14079 18772 28158 56316 213477557 426955114 640432671 853910228 1280865342 2561730684 2775208241 4056073583 5550416482 8112147166 8325624723 11100832964 12168220749 16224294332 16651249446 24336441498 33302498892 48672882996 52728956579 77065398077 105457913158 154130796154 158186869737 210915826316 231196194231 308261592308 316373739474 462392388462 632747478948 924784776924 1001850175001 2003700350002 3005550525003 4007400700004 6011101050006 12022202100012