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12201221221112 = 23711109251723973
BaseRepresentation
bin1011000110001101000101…
…1101001110101011111000
31121012102111002022020201102
42301203101131032223320
53044401100113033422
641541055203110532
72366336431120640
oct261432135165370
947172432266642
1012201221221112
113984566326550
121450818372448
136a6754a233b1
14302783d55520
151625ad6c3192
hexb18d174eaf8

12201221221112 has 128 divisors (see below), whose sum is σ = 28898725363200. Its totient is φ = 4691338560000.

The previous prime is 12201221221097. The next prime is 12201221221151. The reversal of 12201221221112 is 21112212210221.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 16491158 + ... + 17215130.

It is an arithmetic number, because the mean of its divisors is an integer number (225771291900).

Almost surely, 212201221221112 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 12201221221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449362681600).

12201221221112 is an abundant number, since it is smaller than the sum of its proper divisors (16697504142088).

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

12201221221112 is a wasteful number, since it uses less digits than its factorization.

12201221221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724357 (or 724353 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12201221221112 its reverse (21112212210221), we get a palindrome (33313433431333).

The spelling of 12201221221112 in words is "twelve trillion, two hundred one billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 109 154 218 251 308 436 502 616 763 872 1004 1199 1526 1757 2008 2398 2761 3052 3514 4796 5522 6104 7028 8393 9592 11044 14056 16786 19327 22088 27359 33572 38654 54718 67144 77308 109436 154616 191513 218872 300949 383026 601898 723973 766052 1203796 1447946 1532104 2106643 2407592 2895892 4213286 5067811 5791784 7963703 8426572 10135622 15927406 16853144 20271244 31854812 40542488 55745921 63709624 78913057 111491842 157826114 181717223 222983684 315652228 363434446 445967368 552391399 631304456 726868892 868043627 1104782798 1272020561 1453737784 1736087254 1998889453 2209565596 2544041122 3472174508 3997778906 4419131192 5088082244 6076305389 6944349016 7995557812 10176164488 12152610778 13992226171 15991115624 19807177307 24305221556 27984452342 39614354614 48610443112 55968904684 79228709228 111937809368 138650241149 158457418456 217878950377 277300482298 435757900754 554600964596 871515801508 1109201929192 1525152652639 1743031603016 3050305305278 6100610610556 12201221221112