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120220011201000 = 2335354077411381
BaseRepresentation
bin11011010101011011100111…
…000100000000000111101000
3120202122220212021200001120110
4123111123213010000013220
5111224141040331413000
61103404151040254320
734215415643426064
oct3325334704000750
9522586767601513
10120220011201000
1135340025214957
121159753a6113a0
135210910545b89
142198972b10aa4
15dd72e9809850
hex6d56e71001e8

120220011201000 has 128 divisors (see below), whose sum is σ = 375155856092160. Its totient is φ = 32052736224000.

The previous prime is 120220011200983. The next prime is 120220011201013. The reversal of 120220011201000 is 102110022021.

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

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, 12515310 + ... + 19926690.

It is an arithmetic number, because the mean of its divisors is an integer number (2930905125720).

Almost surely, 2120220011201000 is an apocalyptic number.

120220011201000 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 120220011201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187577928046080).

120220011201000 is an abundant number, since it is smaller than the sum of its proper divisors (254935844891160).

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

120220011201000 is a wasteful number, since it uses less digits than its factorization.

120220011201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416812 (or 7416798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120220011201000 its reverse (102110022021), we get a palindrome (120322121223021).

The spelling of 120220011201000 in words is "one hundred twenty trillion, two hundred twenty billion, eleven million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 5407 10814 16221 21628 27035 32442 43256 54070 64884 81105 108140 129768 135175 162210 216280 270350 324420 405525 540700 648840 675875 811050 1081400 1351750 1622100 2027625 2703500 3244200 4055250 5407000 7411381 8110500 14822762 16221000 22234143 29645524 37056905 44468286 59291048 74113810 88936572 111170715 148227620 177873144 185284525 222341430 296455240 370569050 444682860 555853575 741138100 889365720 926422625 1111707150 1482276200 1852845250 2223414300 2779267875 3705690500 4446828600 5558535750 7411381000 11117071500 22234143000 40073337067 80146674134 120220011201 160293348268 200366685335 240440022402 320586696536 400733370670 480880044804 601100056005 801466741340 961760089608 1001833426675 1202200112010 1602933482680 2003666853350 2404400224020 3005500280025 4007333706700 4808800448040 5009167133375 6011000560050 8014667413400 10018334266750 12022001120100 15027501400125 20036668533500 24044002240200 30055002800250 40073337067000 60110005600500 120220011201000