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12211122222012 = 22373132117146009
BaseRepresentation
bin1011000110110001111110…
…0110100011001110111100
31121020101001002210012121110
42301230133212203032330
53100031334242101022
641545413452002020
72400136664206530
oct261543746431674
947211032705543
1012211122222012
11398878717301a
121452720160310
136a767205a7cc
14303042ca7bc0
1516298ca2800c
hexb1b1f9a33bc

12211122222012 has 96 divisors (see below), whose sum is σ = 33614688522240. Its totient is φ = 3376218908160.

The previous prime is 12211122222011. The next prime is 12211122222053. The reversal of 12211122222012 is 21022222111221.

It is a super-2 number, since 2×122111222220122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12211122222012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211122222011) 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, 83559664 + ... + 83705672.

It is an arithmetic number, because the mean of its divisors is an integer number (350153005440).

Almost surely, 212211122222012 is an apocalyptic number.

12211122222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211122222012 is an abundant number, since it is smaller than the sum of its proper divisors (21403566300228).

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

12211122222012 is a wasteful number, since it uses less digits than its factorization.

12211122222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178171 (or 178169 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12211122222012 its reverse (21022222111221), we get a palindrome (33233344333233).

The spelling of 12211122222012 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 32117 64234 96351 128468 146009 192702 224819 292018 385404 438027 449638 584036 674457 876054 899276 995627 1022063 1348914 1752108 1991254 2044126 2697828 2986881 3066189 3982508 4088252 4526279 5973762 6132378 6969389 9052558 11947524 12264756 13578837 13938778 18105116 20908167 27157674 27877556 31683953 41816334 54315348 63367906 83632668 95051859 126735812 190103718 380207436 4689371053 9378742106 14068113159 18757484212 28136226318 32825597371 56272452636 65651194742 98476792113 131302389484 145370502643 196953584226 290741005286 393907168452 436111507929 581482010572 872223015858 1017593518501 1744446031716 2035187037002 3052780555503 4070374074004 6105561111006 12211122222012