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220122212111200 = 25527192068817783
BaseRepresentation
bin110010000011001100110010…
…010000101001001101100000
31001212101110220102202001211001
4302003030302100221031200
5212322440242300024300
62100054425341201344
764236206422212550
oct6203146220511540
91055343812661731
10220122212111200
1164157340187383
12208311ab560254
1395a9587b3c0c9
143c4dd86cd9160
151a6ad3d1db16a
hexc83332429360

220122212111200 has 144 divisors (see below), whose sum is σ = 646464181144320. Its totient is φ = 71498342545920.

The previous prime is 220122212111161. The next prime is 220122212111273. The reversal of 220122212111200 is 2111212221022.

It is a super-2 number, since 2×2201222121112002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1034302492 + ... + 1034515291.

It is an arithmetic number, because the mean of its divisors is an integer number (4489334591280).

Almost surely, 2220122212111200 is an apocalyptic number.

220122212111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122212111200 is an abundant number, since it is smaller than the sum of its proper divisors (426341969033120).

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

220122212111200 is a wasteful number, since it uses less digits than its factorization.

220122212111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068817829 (or 2068817816 counting only the distinct ones).

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

Adding to 220122212111200 its reverse (2111212221022), we get a palindrome (222233424332222).

The spelling of 220122212111200 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 70 76 80 95 100 112 133 140 152 160 175 190 200 224 266 280 304 350 380 400 475 532 560 608 665 700 760 800 950 1064 1120 1330 1400 1520 1900 2128 2660 2800 3040 3325 3800 4256 5320 5600 6650 7600 10640 13300 15200 21280 26600 53200 106400 2068817783 4137635566 8275271132 10344088915 14481724481 16550542264 20688177830 28963448962 33101084528 39307537877 41376355660 51720444575 57926897924 66202169056 72408622405 78615075754 82752711320 103440889150 115853795848 144817244810 157230151508 165505422640 196537689385 206881778300 231707591696 275152765139 289634489620 314460303016 331010845280 362043112025 393075378770 413763556600 463415183392 550305530278 579268979240 628920606032 724086224050 786150757540 827527113200 982688446925 1100611060556 1158537958480 1257841212064 1375763825695 1448172448100 1572301515080 1655054226400 1965376893850 2201222121112 2317075916960 2751527651390 2896344896200 3144603030160 3930753787700 4402444242224 5503055302780 5792689792400 6289206060320 6878819128475 7861507575400 8804888484448 11006110605560 11585379584800 13757638256950 15723015150800 22012221211120 27515276513900 31446030301600 44024442422240 55030553027800 110061106055600 220122212111200