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12122010001200 = 2435211918334091
BaseRepresentation
bin1011000001100110000000…
…0110011001111100110000
31120220212000201102100120210
42300121200012121330300
53042101334030014300
641440435143504120
72360533464632511
oct260314006317460
946825021370523
1012122010001200
113953a08697640
1214393b0758040
1369c140143578
142dc9cbc64a08
151604c45b2050
hexb0660199f30

12122010001200 has 120 divisors (see below), whose sum is σ = 42360914995776. Its totient is φ = 2938669088000.

The previous prime is 12122010001193. The next prime is 12122010001217. The reversal of 12122010001200 is 210001022121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459153846 + ... + 459180245.

Almost surely, 212122010001200 is an apocalyptic number.

12122010001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122010001200 is an abundant number, since it is smaller than the sum of its proper divisors (30238904994576).

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

12122010001200 is a wasteful number, since it uses less digits than its factorization.

12122010001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918334123 (or 918334112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12122010001200 its reverse (210001022121), we get a palindrome (12332011023321).

The spelling of 12122010001200 in words is "twelve trillion, one hundred twenty-two billion, ten million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 918334091 1836668182 2755002273 3673336364 4591670455 5510004546 7346672728 9183340910 10101675001 11020009092 13775011365 14693345456 18366681820 20203350002 22040018184 22958352275 27550022730 30305025003 36733363640 40406700004 44080036368 45916704550 50508375005 55100045460 60610050006 68875056825 73466727280 80813400008 91833409100 101016750010 110200090920 121220100012 137750113650 151525125015 161626800016 183666818200 202033500020 220400181840 242440200024 252541875025 275500227300 303050250030 367333636400 404067000040 484880400048 505083750050 551000454600 606100500060 757625625075 808134000080 1010167500100 1102000909200 1212201000120 1515251250150 2020335000200 2424402000240 3030502500300 4040670000400 6061005000600 12122010001200