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120132301322000 = 24531111777463663
BaseRepresentation
bin11011010100001001111011…
…001001010111011100010000
3120202100112110122001112212102
4123110021323021113130100
5111221221423114301000
61103300003425215532
734206162262650122
oct3324117311273420
9522315418045772
10120132301322000
1135306906287650
12115825407915a8
13520557301a2a6
14219461202d212
15dd4db454c3d5
hex6d427b257710

120132301322000 has 160 divisors (see below), whose sum is σ = 316914759442944. Its totient is φ = 43680669696000.

The previous prime is 120132301321987. The next prime is 120132301322003. The reversal of 120132301322000 is 223103231021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (120132301322003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 258862169 + ... + 259325831.

Almost surely, 2120132301322000 is an apocalyptic number.

120132301322000 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 120132301322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158457379721472).

120132301322000 is an abundant number, since it is smaller than the sum of its proper divisors (196782458120944).

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

120132301322000 is a wasteful number, since it uses less digits than its factorization.

120132301322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475474 (or 475458 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 120132301322000 its reverse (223103231021), we get a palindrome (120355404553021).

The spelling of 120132301322000 in words is "one hundred twenty trillion, one hundred thirty-two billion, three hundred one million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 11777 22000 23554 47108 58885 94216 117770 129547 188432 235540 259094 294425 463663 471080 518188 588850 647735 927326 942160 1036376 1177700 1295470 1472125 1854652 2072752 2318315 2355400 2590940 2944250 3238675 3709304 4636630 4710800 5100293 5181880 5888500 6477350 7418608 9273260 10200586 10363760 11591575 11777000 12954700 16193375 18546520 20401172 23183150 23554000 25501465 25909400 32386750 37093040 40802344 46366300 51002930 51818800 57957875 64773500 81604688 92732600 102005860 115915750 127507325 129547000 185465200 204011720 231831500 255014650 259094000 408023440 463663000 510029300 637536625 927326000 1020058600 1275073250 2040117200 2550146500 5100293000 5460559151 10200586000 10921118302 21842236604 27302795755 43684473208 54605591510 60066150661 87368946416 109211183020 120132301322 136513978775 218422366040 240264602644 273027957550 300330753305 436844732080 480529205288 546055915100 600661506610 682569893875 961058410576 1092111830200 1201323013220 1365139787750 1501653766525 2184223660400 2402646026440 2730279575500 3003307533050 4805292052880 5460559151000 6006615066100 7508268832625 10921118302000 12013230132200 15016537665250 24026460264400 30033075330500 60066150661000 120132301322000