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12020101121000 = 235374993441197
BaseRepresentation
bin1010111011101010010111…
…0110111000001111101000
31120120002222111212211222102
42232322211312320033220
53033414131341333000
641321542550512532
72350265211510560
oct256724566701750
946502874784872
1012020101121000
1139147727a05a5
1214216ab665748
1369264c01131b
142d7ac14a7da0
1515ca0c9b33d5
hexaeea5db83e8

12020101121000 has 128 divisors (see below), whose sum is σ = 32209613280000. Its totient is φ = 4112917459200.

The previous prime is 12020101120943. The next prime is 12020101121047. The reversal of 12020101121000 is 12110102021.

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, 1772402 + ... + 5213598.

It is an arithmetic number, because the mean of its divisors is an integer number (251637603750).

Almost surely, 212020101121000 is an apocalyptic number.

12020101121000 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 12020101121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104806640000).

12020101121000 is an abundant number, since it is smaller than the sum of its proper divisors (20189512159000).

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

12020101121000 is a wasteful number, since it uses less digits than its factorization.

12020101121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441724 (or 3441710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12020101121000 its reverse (12110102021), we get a palindrome (12032211223021).

The spelling of 12020101121000 in words is "twelve trillion, twenty billion, one hundred one million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 499 500 700 875 998 1000 1400 1750 1996 2495 3493 3500 3992 4990 6986 7000 9980 12475 13972 17465 19960 24950 27944 34930 49900 62375 69860 87325 99800 124750 139720 174650 249500 349300 436625 499000 698600 873250 1746500 3441197 3493000 6882394 13764788 17205985 24088379 27529576 34411970 48176758 68823940 86029925 96353516 120441895 137647880 172059850 192707032 240883790 344119700 430149625 481767580 602209475 688239400 860299250 963535160 1204418950 1717157303 1720598500 2408837900 3011047375 3434314606 3441197000 4817675800 6022094750 6868629212 8585786515 12020101121 12044189500 13737258424 17171573030 24040202242 24088379000 34343146060 42928932575 48080404484 60100505605 68686292120 85857865150 96160808968 120201011210 171715730300 214644662875 240402022420 300502528025 343431460600 429289325750 480804044840 601005056050 858578651500 1202010112100 1502512640125 1717157303000 2404020224200 3005025280250 6010050560500 12020101121000