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221200021122112 = 26192271201667241
BaseRepresentation
bin110010010010111000100100…
…101011101110110001000000
31002000012111220210112210022001
4302102320210223232301000
5212443120120401401422
62102241515320553344
764410113505514114
oct6222704453566100
91060174823483261
10221200021122112
116453244728386a
1220986067622854
1396570c33446b6
143c8a1d1107744
151a88dc08d4227
hexc92e24aeec40

221200021122112 has 112 divisors (see below), whose sum is σ = 464468650822080. Its totient is φ = 104230361088000.

The previous prime is 221200021122107. The next prime is 221200021122167. The reversal of 221200021122112 is 211221120002122.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 221200021122112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331180812 + ... + 331848052.

Almost surely, 2221200021122112 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 221200021122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232234325411040).

221200021122112 is an abundant number, since it is smaller than the sum of its proper divisors (243268629699968).

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

221200021122112 is a wasteful number, since it uses less digits than its factorization.

221200021122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668700 (or 668690 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221200021122112 its reverse (211221120002122), we get a palindrome (432421141124234).

The spelling of 221200021122112 in words is "two hundred twenty-one trillion, two hundred billion, twenty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 227 304 454 608 908 1201 1216 1816 2402 3632 4313 4804 7264 8626 9608 14528 17252 19216 22819 34504 38432 45638 69008 76864 91276 138016 182552 272627 276032 365104 545254 667241 730208 1090508 1334482 1460416 2181016 2668964 4362032 5179913 5337928 8724064 10359826 10675856 12677579 17448128 20719652 21351712 25355158 41439304 42703424 50710316 82878608 101420632 151463707 165757216 202841264 302927414 331514432 405682528 605854828 801356441 811365056 1211709656 1602712882 2423419312 2877810433 3205425764 4846838624 5755620866 6410851528 9693677248 11511241732 12821703056 15225772379 23022483464 25643406112 30451544758 46044966928 51286812224 60903089516 92089933856 121806179032 181907912107 184179867712 243612358064 363815824214 487224716128 727631648428 974449432256 1455263296856 2910526593712 3456250330033 5821053187424 6912500660066 11642106374848 13825001320132 27650002640264 55300005280528 110600010561056 221200021122112