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120200110011120 = 243510113001381413
BaseRepresentation
bin11011010101001001000100…
…110110111111001011110000
3120202121000111100001212022210
4123111021010312333023300
5111223324311130323440
61103351100200532120
734214112531210246
oct3325110466771360
9522530440055283
10120200110011120
1135332642544397
1211593705781040
13520ba8b486289
142197a059ca796
15dd6a325aaa80
hex6d5244dbf2f0

120200110011120 has 160 divisors (see below), whose sum is σ = 376339582707264. Its totient is φ = 31733478400000.

The previous prime is 120200110011109. The next prime is 120200110011139. The reversal of 120200110011120 is 21110011002021.

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 = 120200110011096 and 120200110011105.

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, 314953534 + ... + 315334946.

Almost surely, 2120200110011120 is an apocalyptic number.

120200110011120 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 120200110011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188169791353632).

120200110011120 is an abundant number, since it is smaller than the sum of its proper divisors (256139472696144).

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

120200110011120 is a wasteful number, since it uses less digits than its factorization.

120200110011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394531 (or 394525 counting only the distinct ones).

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

Adding to 120200110011120 its reverse (21110011002021), we get a palindrome (141310121013141).

Subtracting from 120200110011120 its reverse (21110011002021), we obtain a palindrome (99090099009099).

The spelling of 120200110011120 in words is "one hundred twenty trillion, two hundred billion, one hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 13001 24240 26002 39003 52004 65005 78006 104008 130010 156012 195015 208016 260020 312024 381413 390030 520040 624048 762826 780060 1040080 1144239 1313101 1525652 1560120 1907065 2288478 2626202 3051304 3120240 3814130 3939303 4576956 5252404 5721195 6102608 6565505 7628260 7878606 9153912 10504808 11442390 13131010 15256520 15757212 18307824 19696515 21009616 22884780 26262020 30513040 31514424 38522713 39393030 45769560 52524040 63028848 77045426 78786060 91539120 105048080 115568139 154090852 157572120 192613565 231136278 308181704 315144240 385227130 462272556 577840695 616363408 770454260 924545112 1155681390 1540908520 1849090224 2311362780 3081817040 4622725560 4958750413 9245451120 9917500826 14876251239 19835001652 24793752065 29752502478 39670003304 49587504130 59505004956 74381256195 79340006608 99175008260 119010009912 148762512390 198350016520 238020019824 297525024780 396700033040 500833791713 595050049560 1001667583426 1190100099120 1502501375139 2003335166852 2504168958565 3005002750278 4006670333704 5008337917130 6010005500556 7512506875695 8013340667408 10016675834260 12020011001112 15025013751390 20033351668520 24040022002224 30050027502780 40066703337040 60100055005560 120200110011120