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212220122222000 = 2453412719550001
BaseRepresentation
bin110000010000001101011000…
…111111111100110110110000
31000211102001020012111122011202
4300100031120333330312300
5210304003302242101000
62031204324522430332
762462253315335354
oct6020153077746660
91024361205448152
10212220122222000
1161690059477592
121b9758216623a8
13915536ba99969
143a59719d03464
1519804ebc93dd5
hexc10358ffcdb0

212220122222000 has 160 divisors (see below), whose sum is σ = 527603841692928. Its totient is φ = 82512000000000.

The previous prime is 212220122221973. The next prime is 212220122222047. The reversal of 212220122222000 is 222221022212.

212220122222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17447000 + ... + 26997000.

Almost surely, 2212220122222000 is an apocalyptic number.

212220122222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212220122222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263801920846464).

212220122222000 is an abundant number, since it is smaller than the sum of its proper divisors (315383719470928).

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

212220122222000 is a wasteful number, since it uses less digits than its factorization.

212220122222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9550336 (or 9550320 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 212220122222000 its reverse (222221022212), we get a palindrome (212442343244212).

The spelling of 212220122222000 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 271 328 400 410 500 542 656 820 1000 1025 1084 1355 1640 2000 2050 2168 2710 3280 4100 4336 5125 5420 6775 8200 10250 10840 11111 13550 16400 20500 21680 22222 27100 33875 41000 44444 54200 55555 67750 82000 88888 108400 111110 135500 177776 222220 271000 277775 444440 542000 555550 888880 1111100 1388875 2222200 2777750 4444400 5555500 9550001 11111000 19100002 22222000 38200004 47750005 76400008 95500010 152800016 191000020 238750025 382000040 391550041 477500050 764000080 783100082 955000100 1193750125 1566200164 1910000200 1957750205 2387500250 2588050271 3132400328 3820000400 3915500410 4775000500 5176100542 6264800656 7831000820 9550001000 9788751025 10352201084 12940251355 15662001640 19100002000 19577502050 20704402168 25880502710 31324003280 39155004100 41408804336 48943755125 51761005420 64701256775 78310008200 97887510250 103522010840 106110061111 129402513550 156620016400 195775020500 207044021680 212220122222 258805027100 323506283875 391550041000 424440244444 517610054200 530550305555 647012567750 783100082000 848880488888 1035220108400 1061100611110 1294025135500 1697760977776 2122201222220 2588050271000 2652751527775 4244402444440 5176100542000 5305503055550 8488804888880 10611006111100 13263757638875 21222012222200 26527515277750 42444024444400 53055030555500 106110061111000 212220122222000