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120201102120 = 233511731247417
BaseRepresentation
bin110111111110010001…
…0110100001100101000
3102111021000120122202010
41233330202310030220
53432132440231440
6131115234435520
711453460336651
oct1577442641450
9374230518663
10120201102120
1146a82430120
121b367132ba0
13b447a691c8
145b63d34528
1531d797b580
hex1bfc8b4328

120201102120 has 128 divisors (see below), whose sum is σ = 398774586240. Its totient is φ = 28740464640.

The previous prime is 120201102089. The next prime is 120201102137. The reversal of 120201102120 is 21201102021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120201102096 and 120201102105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 527349 + ... + 720068.

It is an arithmetic number, because the mean of its divisors is an integer number (3115426455).

Almost surely, 2120201102120 is an apocalyptic number.

120201102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201102120 is an abundant number, since it is smaller than the sum of its proper divisors (278573484120).

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

120201102120 is a wasteful number, since it uses less digits than its factorization.

120201102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247515 (or 1247511 counting only the distinct ones).

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

Adding to 120201102120 its reverse (21201102021), we get a palindrome (141402204141).

Subtracting from 120201102120 its reverse (21201102021), we obtain a palindrome (99000000099).

The spelling of 120201102120 in words is "one hundred twenty billion, two hundred one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 1095 1320 1460 1606 1752 2190 2409 2920 3212 4015 4380 4818 6424 8030 8760 9636 12045 16060 19272 24090 32120 48180 96360 1247417 2494834 3742251 4989668 6237085 7484502 9979336 12474170 13721587 14969004 18711255 24948340 27443174 29938008 37422510 41164761 49896680 54886348 68607935 74845020 82329522 91061441 109772696 137215870 149690040 164659044 182122882 205823805 273184323 274431740 329318088 364245764 411647610 455307205 546368646 548863480 728491528 823295220 910614410 1001675851 1092737292 1365921615 1646590440 1821228820 2003351702 2185474584 2731843230 3005027553 3642457640 4006703404 5008379255 5463686460 6010055106 8013406808 10016758510 10927372920 12020110212 15025137765 20033517020 24040220424 30050275530 40067034040 60100551060 120201102120