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12022211120120 = 2354744963122571
BaseRepresentation
bin1010111011110010001110…
…0111111000101111111000
31120120022102120012220121222
42232330203213320233320
53033432442021320440
641322532203251212
72350401412301525
oct256744347705770
946508376186558
1012022211120120
113915655839123
121421b9a219b08
136928c71c0506
142d7c417d814c
1515cad2d532b5
hexaef239f8bf8

12022211120120 has 128 divisors (see below), whose sum is σ = 27732139776000. Its totient is φ = 4688435404800.

The previous prime is 12022211120113. The next prime is 12022211120141. The reversal of 12022211120120 is 2102111222021.

It is a congruent number.

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, 532628435 + ... + 532651005.

It is an arithmetic number, because the mean of its divisors is an integer number (216657342000).

Almost surely, 212022211120120 is an apocalyptic number.

12022211120120 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 12022211120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13866069888000).

12022211120120 is an abundant number, since it is smaller than the sum of its proper divisors (15709928655880).

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

12022211120120 is a wasteful number, since it uses less digits than its factorization.

12022211120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23709 (or 23705 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12022211120120 its reverse (2102111222021), we get a palindrome (14124322342141).

The spelling of 12022211120120 in words is "twelve trillion, twenty-two billion, two hundred eleven million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 449 470 631 898 940 1262 1796 1880 2245 2524 3155 3592 4490 5048 6310 8980 12620 17960 21103 22571 25240 29657 42206 45142 59314 84412 90284 105515 112855 118628 148285 168824 180568 211030 225710 237256 283319 296570 422060 451420 566638 593140 844120 902840 1060837 1133276 1186280 1416595 2121674 2266552 2833190 4243348 5304185 5666380 8486696 10134379 10608370 11332760 13315993 14242301 20268758 21216740 26631986 28484602 40537516 42433480 50671895 53263972 56969204 66579965 71211505 81075032 101343790 106527944 113938408 133159930 142423010 202687580 266319860 284846020 405375160 476315813 532639720 569692040 669388147 952631626 1338776294 1905263252 2381579065 2677552588 3346940735 3810526504 4763158130 5355105176 6394793149 6693881470 9526316260 12789586298 13387762940 19052632520 25579172596 26775525880 31973965745 51158345192 63947931490 127895862980 255791725960 300555278003 601110556006 1202221112012 1502776390015 2404442224024 3005552780030 6011105560060 12022211120120