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112202220001200 = 24352713357407143
BaseRepresentation
bin11001100000110000011101…
…011101110101011110110000
3112201021102112122000001201020
4121200300131131311132300
5104201310121310014300
61034344553245135440
732430225415623420
oct3140603535653660
9481242478001636
10112202220001200
11328297700a2a0a
121070166055a580
134a7b815a6a174
141d9c88b678480
15ce89859d28a0
hex660c1d7757b0

112202220001200 has 120 divisors (see below), whose sum is σ = 410766984492288. Its totient is φ = 25646221712640.

The previous prime is 112202220001169. The next prime is 112202220001229. The reversal of 112202220001200 is 2100022202211.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112202220001200.

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, 6678695172 + ... + 6678711971.

Almost surely, 2112202220001200 is an apocalyptic number.

112202220001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112202220001200 is an abundant number, since it is smaller than the sum of its proper divisors (298564764491088).

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

112202220001200 is a wasteful number, since it uses less digits than its factorization.

112202220001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13357407171 (or 13357407160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 112202220001200 its reverse (2100022202211), we get a palindrome (114302242203411).

The spelling of 112202220001200 in words is "one hundred twelve trillion, two hundred two billion, two hundred twenty million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 13357407143 26714814286 40072221429 53429628572 66787035715 80144442858 93501850001 106859257144 133574071430 160288885716 187003700002 200361107145 213718514288 267148142860 280505550003 320577771432 333935178575 374007400004 400722214290 467509250005 534296285720 561011100006 641155542864 667870357150 748014800008 801444428580 935018500010 1001805535725 1068592571440 1122022200012 1335740714300 1402527750015 1496029600016 1602888857160 1870037000020 2003611071450 2244044400024 2337546250025 2671481428600 2805055500030 3205777714320 3740074000040 4007222142900 4488088800048 4675092500050 5342962857200 5610111000060 7012638750075 7480148000080 8014444285800 9350185000100 11220222000120 14025277500150 16028888571600 18700370000200 22440444000240 28050555000300 37400740000400 56101110000600 112202220001200