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121122122222000 = 24531912492551981
BaseRepresentation
bin11011100010100011110001…
…000100011100100110110000
3120212212011100221201010012202
4123202203301010130212300
5111333431101242101000
61105334422414242332
734340533046534564
oct3342436104344660
9525764327633182
10121122122222000
113565867038aaa9
12117023417b63a8
1352779c847b323
1421ca4b06116a4
15e009e7328dd5
hex6e28f111c9b0

121122122222000 has 160 divisors (see below), whose sum is σ = 308534623800000. Its totient is φ = 45862142976000.

The previous prime is 121122122221999. The next prime is 121122122222053. The reversal of 121122122222000 is 222221221121.

It is a super-2 number, since 2×1211221222220002 (a number of 29 digits) contains 22 as substring.

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, 46186010 + ... + 48737990.

It is an arithmetic number, because the mean of its divisors is an integer number (1928341398750).

Almost surely, 2121122122222000 is an apocalyptic number.

121122122222000 is a gapful number since it is divisible by the number (10) 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 121122122222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154267311900000).

121122122222000 is an abundant number, since it is smaller than the sum of its proper divisors (187412501578000).

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

121122122222000 is a wasteful number, since it uses less digits than its factorization.

121122122222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553272 (or 2553256 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 121122122222000 its reverse (222221221121), we get a palindrome (121344343443121).

The spelling of 121122122222000 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1249 1520 1900 2000 2375 2498 3800 4750 4996 6245 7600 9500 9992 12490 19000 19984 23731 24980 31225 38000 47462 49960 62450 94924 99920 118655 124900 156125 189848 237310 249800 312250 379696 474620 499600 593275 624500 949240 1186550 1249000 1898480 2373100 2498000 2551981 2966375 4746200 5103962 5932750 9492400 10207924 11865500 12759905 20415848 23731000 25519810 40831696 47462000 48487639 51039620 63799525 96975278 102079240 127599050 193950556 204158480 242438195 255198100 318997625 387901112 484876390 510396200 637995250 775802224 969752780 1020792400 1212190975 1275990500 1939505560 2424381950 2551981000 3187424269 3879011120 4848763900 5103962000 6060954875 6374848538 9697527800 12121909750 12749697076 15937121345 19395055600 24243819500 25499394152 31874242690 48487639000 50998788304 60561061111 63748485380 79685606725 96975278000 121122122222 127496970760 159371213450 242244244444 254993941520 302805305555 318742426900 398428033625 484488488888 605610611110 637484853800 796856067250 968976977776 1211221222220 1274969707600 1514026527775 1593712134500 2422442444440 3028053055550 3187424269000 4844884888880 6056106111100 6374848538000 7570132638875 12112212222200 15140265277750 24224424444400 30280530555500 60561061111000 121122122222000