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120122201102000 = 24531971801169283
BaseRepresentation
bin11011010100000000100001…
…001000000101011010110000
3120202022120101201201012202012
4123110000201020011122300
5111221040231440231000
61103251213302342052
734205354060335436
oct3324004110053260
9522276351635665
10120122201102000
11353025a2a40899
12115805a212a928
135204623640156
142193d3485cd56
15dd49c2994735
hex6d40212056b0

120122201102000 has 160 divisors (see below), whose sum is σ = 292093694253504. Its totient is φ = 47778151680000.

The previous prime is 120122201101957. The next prime is 120122201102003. The reversal of 120122201102000 is 201102221021.

It is not an unprimeable number, because it can be changed into a prime (120122201102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709509359 + ... + 709678641.

Almost surely, 2120122201102000 is an apocalyptic number.

120122201102000 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 120122201102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146046847126752).

120122201102000 is an abundant number, since it is smaller than the sum of its proper divisors (171971493151504).

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

120122201102000 is a wasteful number, since it uses less digits than its factorization.

120122201102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171304 (or 171288 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120122201102000 its reverse (201102221021), we get a palindrome (120323303323021).

The spelling of 120122201102000 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 197 200 250 394 400 500 788 985 1000 1576 1801 1970 2000 3152 3602 3940 4925 7204 7880 9005 9850 14408 15760 18010 19700 24625 28816 36020 39400 45025 49250 72040 78800 90050 98500 144080 169283 180100 197000 225125 338566 354797 360200 394000 450250 677132 709594 720400 846415 900500 1354264 1419188 1692830 1773985 1801000 2708528 2838376 3385660 3547970 3602000 4232075 5676752 6771320 7095940 8464150 8869925 13542640 14191880 16928300 17739850 21160375 28383760 33348751 33856600 35479700 42320750 44349625 66697502 67713200 70959400 84641500 88699250 133395004 141918800 166743755 169283000 177398500 266790008 304878683 333487510 338566000 354797000 533580016 609757366 666975020 709594000 833718775 1219514732 1333950040 1524393415 1667437550 2439029464 2667900080 3048786830 3334875100 4168593875 4878058928 6097573660 6669750200 7621967075 8337187750 12195147320 13339500400 15243934150 16674375500 24390294640 30487868300 33348751000 38109835375 60061100551 60975736600 66697502000 76219670750 120122201102 121951473200 152439341500 240244402204 300305502755 304878683000 480488804408 600611005510 609757366000 960977608816 1201222011020 1501527513775 2402444022040 3003055027550 4804888044080 6006110055100 7507637568875 12012220110200 15015275137750 24024440220400 30030550275500 60061100551000 120122201102000