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11012112000120 = 23357111191787013
BaseRepresentation
bin1010000000111111010100…
…0001100010010001111000
31102222202012000112000221110
42200033311001202101320
52420410301133000440
635230521105440320
72214412254402120
oct240176501422170
942882160460843
1011012112000120
113566235158970
12129a27a0400a0
1361b58c84142a
142a0dbbdc9c80
151416b4ba0080
hexa03f5062478

11012112000120 has 128 divisors (see below), whose sum is σ = 41188159203840. Its totient is φ = 2288231063040.

The previous prime is 11012112000119. The next prime is 11012112000137. The reversal of 11012112000120 is 2100021121011.

It is a super-2 number, since 2×110121120001202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11012112000096 and 11012112000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595884267 + ... + 595902746.

It is an arithmetic number, because the mean of its divisors is an integer number (321782493780).

Almost surely, 211012112000120 is an apocalyptic number.

11012112000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012112000120 is an abundant number, since it is smaller than the sum of its proper divisors (30176047203720).

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

11012112000120 is a wasteful number, since it uses less digits than its factorization.

11012112000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191787045 (or 1191787041 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11012112000120 its reverse (2100021121011), we get a palindrome (13112133121131).

The spelling of 11012112000120 in words is "eleven trillion, twelve billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 1191787013 2383574026 3575361039 4767148052 5958935065 7150722078 8342509091 9534296104 11917870130 13109657143 14301444156 16685018182 17876805195 23835740260 25027527273 26219314286 28602888312 33370036364 35753610390 39328971429 41712545455 47671480520 50055054546 52438628572 65548285715 66740072728 71507220780 78657942858 83425090910 91767600001 100110109092 104877257144 125137636365 131096571430 143014441560 157315885716 166850181820 183535200002 196644857145 200220218184 250275272730 262193142860 275302800003 314631771432 333700363640 367070400004 393289714290 458838000005 500550545460 524386285720 550605600006 734140800008 786579428580 917676000010 1001101090920 1101211200012 1376514000015 1573158857160 1835352000020 2202422400024 2753028000030 3670704000040 5506056000060 11012112000120