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12020101112000 = 265310691405531
BaseRepresentation
bin1010111011101010010111…
…0110110110000011000000
31120120002222111212101122002
42232322211312312003000
53033414131341041000
641321542550403132
72350265211442412
oct256724566660300
946502874771562
1012020101112000
113914772794863
1214216ab6604a8
1369264c00a1b7
142d7ac14a49b2
1515ca0c9b08d5
hexaeea5db60c0

12020101112000 has 112 divisors (see below), whose sum is σ = 29795647982880. Its totient is φ = 4803539328000.

The previous prime is 12020101111937. The next prime is 12020101112081. The reversal of 12020101112000 is 21110102021.

12020101112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7849235 + ... + 9254765.

Almost surely, 212020101112000 is an apocalyptic number.

12020101112000 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 12020101112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897823991440).

12020101112000 is an abundant number, since it is smaller than the sum of its proper divisors (17775546870880).

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

12020101112000 is a wasteful number, since it uses less digits than its factorization.

12020101112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406627 (or 1406607 counting only the distinct ones).

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

Adding to 12020101112000 its reverse (21110102021), we get a palindrome (12041211214021).

The spelling of 12020101112000 in words is "twelve trillion, twenty billion, one hundred one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1069 1600 2000 2138 4000 4276 5345 8000 8552 10690 17104 21380 26725 34208 42760 53450 68416 85520 106900 133625 171040 213800 267250 342080 427600 534500 855200 1069000 1405531 1710400 2138000 2811062 4276000 5622124 7027655 8552000 11244248 14055310 22488496 28110620 35138275 44976992 56221240 70276550 89953984 112442480 140553100 175691375 224884960 281106200 351382750 449769920 562212400 702765500 1124424800 1405531000 1502512639 2248849600 2811062000 3005025278 5622124000 6010050556 7512563195 11244248000 12020101112 15025126390 24040202224 30050252780 37562815975 48080404448 60100505560 75125631950 96160808896 120201011120 150251263900 187814079875 240402022240 300502527800 375628159750 480804044480 601005055600 751256319500 1202010111200 1502512639000 2404020222400 3005025278000 6010050556000 12020101112000