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120220200012 = 223112194792717
BaseRepresentation
bin110111111110110101…
…1101010110001001100
3102111022100111221010110
41233331223222301030
53432202332400022
6131121200040020
711454111560643
oct1577553526114
9374270457113
10120220200012
1146a92194700
121b371603010
13b44b9c4b33
145b666a635a
1531d94a000c
hex1bfdaeac4c

120220200012 has 144 divisors (see below), whose sum is σ = 331470558720. Its totient is φ = 33778293120.

The previous prime is 120220199987. The next prime is 120220200019. The reversal of 120220200012 is 210002022021.

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

It is not an unprimeable number, because it can be changed into a prime (120220200019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1250278 + ... + 1342994.

It is an arithmetic number, because the mean of its divisors is an integer number (2301878880).

Almost surely, 2120220200012 is an apocalyptic number.

120220200012 is a gapful number since it is divisible by the number (12) 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 120220200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165735279360).

120220200012 is an abundant number, since it is smaller than the sum of its proper divisors (211250358708).

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

120220200012 is a wasteful number, since it uses less digits than its factorization.

120220200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92812 (or 92799 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120220200012 its reverse (210002022021), we get a palindrome (330222222033).

The spelling of 120220200012 in words is "one hundred twenty billion, two hundred twenty million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 47 57 66 76 94 114 121 132 141 188 209 228 242 282 363 418 484 517 564 627 726 836 893 1034 1254 1452 1551 1786 2068 2299 2508 2679 3102 3572 4598 5358 5687 6204 6897 9196 9823 10716 11374 13794 17061 19646 22748 27588 29469 34122 39292 58938 68244 92717 108053 117876 185434 216106 278151 324159 370868 432212 556302 648318 1019887 1112604 1296636 1761623 2039774 3059661 3523246 4079548 4357699 5284869 6119322 7046492 8715398 10569738 11218757 12238644 13073097 17430796 19377853 21139476 22437514 26146194 33656271 38755706 44875028 47934689 52292388 58133559 67312542 77511412 82796281 95869378 116267118 134625084 143804067 165592562 191738756 213156383 232534236 248388843 287608134 331185124 426312766 496777686 527281579 575216268 639469149 852625532 910759091 993555372 1054563158 1278938298 1581844737 1821518182 2109126316 2557876596 2732277273 3163689474 3643036364 5464554546 6327378948 10018350001 10929109092 20036700002 30055050003 40073400004 60110100006 120220200012