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222002120112120 = 233253131970199859
BaseRepresentation
bin110010011110100011100101…
…100000100011011111111000
31002010001012021110022021021100
4302132203211200203133320
5213044240320222041440
62104054211022011400
764522060330445415
oct6236434540433770
91063035243267240
10222002120112120
1164811630246847
1220a955b8a16b60
1396b493011729a
143cb6d6213510c
151a9ebb80de230
hexc9e8e58237f8

222002120112120 has 96 divisors (see below), whose sum is σ = 723812024566800. Its totient is φ = 59011426146816.

The previous prime is 222002120112043. The next prime is 222002120112133. The reversal of 222002120112120 is 21211021200222.

It is a happy number.

222002120112120 is a `hidden beast` number, since 2 + 220 + 0 + 212 + 0 + 112 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222002120112093 and 222002120112102.

It is a congruent number.

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, 984987250 + ... + 985212609.

Almost surely, 2222002120112120 is an apocalyptic number.

222002120112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222002120112120 is an abundant number, since it is smaller than the sum of its proper divisors (501809904454680).

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

222002120112120 is a wasteful number, since it uses less digits than its factorization.

222002120112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970200189 (or 1970200182 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222002120112120 its reverse (21211021200222), we get a palindrome (243213141312342).

The spelling of 222002120112120 in words is "two hundred twenty-two trillion, two billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 313 360 626 939 1252 1565 1878 2504 2817 3130 3756 4695 5634 6260 7512 9390 11268 12520 14085 18780 22536 28170 37560 56340 112680 1970199859 3940399718 5910599577 7880799436 9850999295 11821199154 15761598872 17731798731 19701998590 23642398308 29552997885 35463597462 39403997180 47284796616 59105995770 70927194924 78807994360 88658993655 118211991540 141854389848 177317987310 236423983080 354635974620 616672555867 709271949240 1233345111734 1850017667601 2466690223468 3083362779335 3700035335202 4933380446936 5550053002803 6166725558670 7400070670404 9250088338005 11100106005606 12333451117340 14800141340808 18500176676010 22200212011212 24666902234680 27750265014015 37000353352020 44400424022424 55500530028030 74000706704040 111001060056060 222002120112120