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200211112122120 = 233251150558361647
BaseRepresentation
bin101101100001011101001000…
…001101111101011100001000
3222020212222212122100000221100
4231201131020031331130020
5202220224324200401440
61545451414250541400
760112526666615151
oct5541351015753410
9866788778300840
10200211112122120
1158880068333350
121a556308437860
138793a99801938
1437623ab840928
151822e3cd4e230
hexb6174837d708

200211112122120 has 96 divisors (see below), whose sum is σ = 709839397537920. Its totient is φ = 48536027180160.

The previous prime is 200211112122083. The next prime is 200211112122149. The reversal of 200211112122120 is 21221211112002.

200211112122120 is a `hidden beast` number, since 20 + 0 + 211 + 11 + 212 + 212 + 0 = 666.

It is a super-2 number, since 2×2002111121221202 (a number of 29 digits) contains 22 as substring.

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 = 200211112122093 and 200211112122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25279176864 + ... + 25279184783.

It is an arithmetic number, because the mean of its divisors is an integer number (7394160391020).

Almost surely, 2200211112122120 is an apocalyptic number.

200211112122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200211112122120 is an abundant number, since it is smaller than the sum of its proper divisors (509628285415800).

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

200211112122120 is a wasteful number, since it uses less digits than its factorization.

200211112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50558361675 (or 50558361668 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 200211112122120 its reverse (21221211112002), we get a palindrome (221432323234122).

The spelling of 200211112122120 in words is "two hundred trillion, two hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 50558361647 101116723294 151675084941 202233446588 252791808235 303350169882 404466893176 455025254823 505583616470 556141978117 606700339764 758375424705 910050509646 1011167232940 1112283956234 1213400679528 1516750849410 1668425934351 1820101019292 2022334465880 2224567912468 2275126274115 2780709890585 3033501698820 3336851868702 3640202038584 4449135824936 4550252548230 5005277803053 5561419781170 6067003397640 6673703737404 8342129671755 9100505096460 10010555606106 11122839562340 13347407474808 16684259343510 18201010192920 20021111212212 22245679124680 25026389015265 33368518687020 40042222424424 50052778030530 66737037374040 100105556061060 200211112122120