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12022120222000 = 245371573354581
BaseRepresentation
bin1010111011110001111000…
…1101001000110100110000
31120120022012020011210211221
42232330132031020310300
53033432300234101000
641322515155114424
72350366226545450
oct256743615106460
946508166153757
1012022120222000
1139156094a4009
121421b738a2a14
136928b1415845
142d7c336d5d60
1515cac9d9a61a
hexaef1e348d30

12022120222000 has 160 divisors (see below), whose sum is σ = 33224990857344. Its totient is φ = 4121532288000.

The previous prime is 12022120221983. The next prime is 12022120222003. The reversal of 12022120222000 is 22202122021.

12022120222000 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 (16).

It is not an unprimeable number, because it can be changed into a prime (12022120222003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220234710 + ... + 220289290.

Almost surely, 212022120222000 is an apocalyptic number.

12022120222000 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 12022120222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16612495428672).

12022120222000 is an abundant number, since it is smaller than the sum of its proper divisors (21202870635344).

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

12022120222000 is a wasteful number, since it uses less digits than its factorization.

12022120222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70344 (or 70328 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12022120222000 its reverse (22202122021), we get a palindrome (12044322344021).

The spelling of 12022120222000 in words is "twelve trillion, twenty-two billion, one hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 15733 31466 54581 62932 78665 109162 110131 125864 157330 218324 220262 251728 272905 314660 382067 393325 436648 440524 545810 550655 629320 764134 786650 873296 881048 1091620 1101310 1258640 1364525 1528268 1573300 1762096 1910335 1966625 2183240 2202620 2729050 2753275 3056536 3146600 3820670 3933250 4366480 4405240 5458100 5506550 6113072 6293200 6822625 7641340 7866500 8810480 9551675 10916200 11013100 13645250 13766375 15282680 15733000 19103350 21832400 22026200 27290500 27532750 30565360 31466000 38206700 44052400 47758375 54581000 55065500 76413400 95516750 109162000 110131000 152826800 191033500 220262000 382067000 764134000 858722873 1717445746 3434891492 4293614365 6011060111 6869782984 8587228730 12022120222 13739565968 17174457460 21468071825 24044240444 30055300555 34348914920 42936143650 48088480888 60110601110 68697829840 85872287300 96176961776 107340359125 120221202220 150276502775 171744574600 214680718250 240442404440 300553005550 343489149200 429361436500 480884808880 601106011100 751382513875 858722873000 1202212022200 1502765027750 1717445746000 2404424044400 3005530055500 6011060111000 12022120222000