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120201010112000 = 29533335356311
BaseRepresentation
bin11011010101001001111010…
…100000100110011000000000
3120202121002211001202201121102
4123111021322200212120000
5111223333132042041000
61103351325353113532
734214144041016126
oct3325117240463000
9522532731681542
10120201010112000
1135332a64635514
12115939170b88a8
13520bba2ab684c
142197a8d371916
15dd6a866073d5
hex6d527a826600

120201010112000 has 160 divisors (see below), whose sum is σ = 299743040735424. Its totient is φ = 48078108672000.

The previous prime is 120201010111969. The next prime is 120201010112009. The reversal of 120201010112000 is 211010102021.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201010112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2134563845 + ... + 2134620155.

Almost surely, 2120201010112000 is an apocalyptic number.

120201010112000 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 120201010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149871520367712).

120201010112000 is an abundant number, since it is smaller than the sum of its proper divisors (179542030623424).

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

120201010112000 is an frugal number, since it uses more digits than its factorization.

120201010112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89697 (or 89671 counting only the distinct ones).

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

Adding to 120201010112000 its reverse (211010102021), we get a palindrome (120412020214021).

The spelling of 120201010112000 in words is "one hundred twenty trillion, two hundred one billion, ten million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1280 1600 2000 2560 3200 4000 6400 8000 12800 16000 32000 33353 56311 64000 66706 112622 133412 166765 225244 266824 281555 333530 450488 533648 563110 667060 833825 900976 1067296 1126220 1334120 1407775 1667650 1801952 2134592 2252440 2668240 2815550 3335300 3603904 4169125 4269184 4504880 5336480 5631100 6670600 7038875 7207808 8338250 8538368 9009760 10672960 11262200 13341200 14077750 14415616 16676500 17076736 18019520 21345920 22524400 26682400 28155500 28831232 33353000 36039040 42691840 45048800 53364800 56311000 66706000 72078080 85383680 90097600 106729600 112622000 133412000 144156160 180195200 213459200 225244000 266824000 360390400 426918400 450488000 533648000 720780800 900976000 1067296000 1801952000 1878140783 2134592000 3603904000 3756281566 7512563132 9390703915 15025126264 18781407830 30050252528 37562815660 46953519575 60100505056 75125631320 93907039150 120201010112 150251262640 187814078300 234767597875 240402020224 300502525280 375628156600 469535195750 480804040448 601005050560 751256313200 939070391500 961608080896 1202010101120 1502512626400 1878140783000 2404020202240 3005025252800 3756281566000 4808040404480 6010050505600 7512563132000 12020101011200 15025126264000 24040202022400 30050252528000 60100505056000 120201010112000