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120220444114120 = 23571925438886287
BaseRepresentation
bin11011010101011100000000…
…110111011011110011001000
3120202122221222110021022201201
4123111130000313123303020
5111224142432143122440
61103404302023153544
734215432451221340
oct3325340067336310
9522587873238651
10120220444114120
113534022761a999
121159763b5a58b4
13521097c13c39c
1421989b4401d20
15dd732282019a
hex6d5700ddbcc8

120220444114120 has 128 divisors (see below), whose sum is σ = 325536720076800. Its totient is φ = 39033686612736.

The previous prime is 120220444114051. The next prime is 120220444114207. The reversal of 120220444114120 is 21411444022021.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 9085617 + ... + 17971903.

It is an arithmetic number, because the mean of its divisors is an integer number (2543255625600).

Almost surely, 2120220444114120 is an apocalyptic number.

120220444114120 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 120220444114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162768360038400).

120220444114120 is an abundant number, since it is smaller than the sum of its proper divisors (205316275962680).

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

120220444114120 is a wasteful number, since it uses less digits than its factorization.

120220444114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888867 (or 8888863 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 120220444114120 its reverse (21411444022021), we get a palindrome (141631888136141).

The spelling of 120220444114120 in words is "one hundred twenty trillion, two hundred twenty billion, four hundred forty-four million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2543 2660 5086 5320 10172 12715 17801 20344 25430 35602 48317 50860 71204 89005 96634 101720 142408 178010 193268 241585 338219 356020 386536 483170 676438 712040 966340 1352876 1691095 1932680 2705752 3382190 6764380 8886287 13528760 17772574 35545148 44431435 62204009 71090296 88862870 124408018 168839453 177725740 248816036 311020045 337678906 355451480 497632072 622040090 675357812 844197265 1181876171 1244080180 1350715624 1688394530 2363752342 2488160360 3376789060 4727504684 5909380855 6753578120 9455009368 11818761710 22597827841 23637523420 45195655682 47275046840 90391311364 112989139205 158184794887 180782622728 225978278410 316369589774 429358728979 451956556820 632739179548 790923974435 858717457958 903913113640 1265478359096 1581847948870 1717434915916 2146793644895 3005511102853 3163695897740 3434869831832 4293587289790 6011022205706 6327391795480 8587174579580 12022044411412 15027555514265 17174349159160 24044088822824 30055111028530 60110222057060 120220444114120