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22011222012012 = 223247127223459341
BaseRepresentation
bin1010000000100111000110…
…00100011011000001101100
32212221020210220111122002100
411000103203010123001230
510341112440313341022
6114451452113455100
74431154413036102
oct500234304330154
985836726448070
1022011222012012
1170169a7aa3612
122575b09871490
13c38859765bac
145614c528dc72
152828681591ac
hex1404e311b06c

22011222012012 has 144 divisors (see below), whose sum is σ = 57527668703232. Its totient is φ = 7092459480960.

The previous prime is 22011222012011. The next prime is 22011222012053. The reversal of 22011222012012 is 21021022211022.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (22011222012011) 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 47 ways as a sum of consecutive naturals, for example, 47689462 + ... + 48148802.

It is an arithmetic number, because the mean of its divisors is an integer number (399497699328).

Almost surely, 222011222012012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22011222012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28763834351616).

22011222012012 is an abundant number, since it is smaller than the sum of its proper divisors (35516446691220).

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

22011222012012 is a wasteful number, since it uses less digits than its factorization.

22011222012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459748 (or 459743 counting only the distinct ones).

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

Adding to 22011222012012 its reverse (21021022211022), we get a palindrome (43032244223034).

The spelling of 22011222012012 in words is "twenty-two trillion, eleven billion, two hundred twenty-two million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 127 141 188 223 254 282 381 423 446 508 564 669 762 846 892 1143 1338 1524 1692 2007 2286 2676 4014 4572 5969 8028 10481 11938 17907 20962 23876 28321 31443 35814 41924 53721 56642 62886 71628 84963 94329 107442 113284 125772 169926 188658 214884 254889 339852 377316 459341 509778 918682 1019556 1331087 1378023 1837364 2662174 2756046 3993261 4134069 5324348 5512092 7986522 8268138 11979783 15973044 16536276 21589027 23959566 43178054 47919132 58336307 64767081 86356108 102433043 116672614 129534162 175008921 194301243 204866086 233345228 259068324 307299129 350017842 388602486 409732172 525026763 614598258 700035684 777204972 921897387 1050053526 1229196516 1843794774 2100107052 2741806429 3687589548 4814353021 5483612858 8225419287 9628706042 10967225716 13008996461 14443059063 16450838574 19257412084 24676257861 26017992922 28886118126 32901677148 39026989383 43329177189 49352515722 52035985844 57772236252 78053978766 86658354378 98705031444 117080968149 156107957532 173316708756 234161936298 468323872596 611422833667 1222845667334 1834268501001 2445691334668 3668537002002 5502805503003 7337074004004 11005611006006 22011222012012