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120220111001000 = 23532913131645199
BaseRepresentation
bin11011010101011011101101…
…000000101101010110101000
3120202122221010020110102102202
4123111123231000231112220
5111224141241404013000
61103404205003315332
734215421264626143
oct3325335500552650
9522587106412382
10120220111001000
113534007658a09a
1211597567b1bb48
13521092811962a
14219898208d05a
15dd730346edd5
hex6d56ed02d5a8

120220111001000 has 128 divisors (see below), whose sum is σ = 293237081280000. Its totient is φ = 46075408288000.

The previous prime is 120220111000963. The next prime is 120220111001041. The reversal of 120220111001000 is 100111022021.

It is a super-2 number, since 2×1202201110010002 (a number of 29 digits) contains 22 as substring.

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, 12023600 + ... + 19621599.

It is an arithmetic number, because the mean of its divisors is an integer number (2290914697500).

Almost surely, 2120220111001000 is an apocalyptic number.

120220111001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120220111001000 is an abundant number, since it is smaller than the sum of its proper divisors (173016970279000).

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

120220111001000 is a wasteful number, since it uses less digits than its factorization.

120220111001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31645380 (or 31645366 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120220111001000 its reverse (100111022021), we get a palindrome (120320222023021).

The spelling of 120220111001000 in words is "one hundred twenty trillion, two hundred twenty billion, one hundred eleven million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 131 145 200 232 250 262 290 500 524 580 655 725 1000 1048 1160 1310 1450 2620 2900 3275 3625 3799 5240 5800 6550 7250 7598 13100 14500 15196 16375 18995 26200 29000 30392 32750 37990 65500 75980 94975 131000 151960 189950 379900 474875 759800 949750 1899500 3799000 31645199 63290398 126580796 158225995 253161592 316451990 632903980 791129975 917710771 1265807960 1582259950 1835421542 3164519900 3670843084 3955649875 4145521069 4588553855 6329039800 7341686168 7911299750 8291042138 9177107710 15822599500 16582084276 18354215420 20727605345 22942769275 31645199000 33164168552 36708430840 41455210690 45885538550 82910421380 91771077100 103638026725 114713846375 120220111001 165820842760 183542154200 207276053450 229427692750 240440222002 414552106900 458855385500 480880444004 518190133625 601100555005 829104213800 917710771000 961760888008 1036380267250 1202201110010 2072760534500 2404402220020 3005502775025 4145521069000 4808804440040 6011005550050 12022011100100 15027513875125 24044022200200 30055027750250 60110055500500 120220111001000