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1120120200 = 2332523072027
BaseRepresentation
bin100001011000011…
…1010110110001000
32220001201000001100
41002300322312020
54243222321300
6303052021400
736520602363
oct10260726610
92801630040
101120120200
11525307981
12273161860
1314b0a6a24
14a8a990da
156850c700
hex42c3ad88

1120120200 has 144 divisors (see below), whose sum is σ = 3775852080. Its totient is φ = 297578880.

The previous prime is 1120120187. The next prime is 1120120229. The reversal of 1120120200 is 20210211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 551587 + ... + 553613.

It is an arithmetic number, because the mean of its divisors is an integer number (26221195).

Almost surely, 21120120200 is an apocalyptic number.

1120120200 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 1120120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887926040).

1120120200 is an abundant number, since it is smaller than the sum of its proper divisors (2655731880).

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

1120120200 is a wasteful number, since it uses less digits than its factorization.

1120120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1120120200 is about 33468.1968441683. The cubic root of 1120120200 is about 1038.5359701003.

Adding to 1120120200 its reverse (20210211), we get a palindrome (1140330411).

The spelling of 1120120200 in words is "one billion, one hundred twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 307 360 450 600 614 900 921 1228 1535 1800 1842 2027 2456 2763 3070 3684 4054 4605 5526 6081 6140 7368 7675 8108 9210 10135 11052 12162 12280 13815 15350 16216 18243 18420 20270 22104 23025 24324 27630 30405 30700 36486 36840 40540 46050 48648 50675 55260 60810 61400 69075 72972 81080 91215 92100 101350 110520 121620 138150 145944 152025 182430 184200 202700 243240 276300 304050 364860 405400 456075 552600 608100 622289 729720 912150 1216200 1244578 1824300 1866867 2489156 3111445 3648600 3733734 4978312 5600601 6222890 7467468 9334335 11201202 12445780 14934936 15557225 18668670 22402404 24891560 28003005 31114450 37337340 44804808 46671675 56006010 62228900 74674680 93343350 112012020 124457800 140015025 186686700 224024040 280030050 373373400 560060100 1120120200