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120221010120 = 233523270716091
BaseRepresentation
bin110111111110110111…
…0110000100011001000
3102111022102001002101110
41233331232300203020
53432203034310440
6131121225250320
711454121503531
oct1577556604310
9374272032343
10120221010120
1146a92698312
121b3719339a0
13b44bc197a3
145b66837688
1531d95b0080
hex1bfdbb08c8

120221010120 has 128 divisors (see below), whose sum is σ = 376506455040. Its totient is φ = 30651836160.

The previous prime is 120221010083. The next prime is 120221010127. The reversal of 120221010120 is 21010122021.

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 = 120221010096 and 120221010105.

It is not an unprimeable number, because it can be changed into a prime (120221010127) 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, 7463275 + ... + 7479365.

It is an arithmetic number, because the mean of its divisors is an integer number (2941456680).

Almost surely, 2120221010120 is an apocalyptic number.

120221010120 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 120221010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188253227520).

120221010120 is an abundant number, since it is smaller than the sum of its proper divisors (256285444920).

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

120221010120 is a wasteful number, since it uses less digits than its factorization.

120221010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18835 (or 18831 counting only the distinct ones).

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

Adding to 120221010120 its reverse (21010122021), we get a palindrome (141231132141).

The spelling of 120221010120 in words is "one hundred twenty billion, two hundred twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2707 2760 5414 8121 10828 13535 16091 16242 21656 27070 32182 32484 40605 48273 54140 62261 64364 64968 80455 81210 96546 108280 124522 128728 160910 162420 186783 193092 241365 249044 311305 321820 324840 370093 373566 386184 482730 498088 622610 643640 740186 747132 933915 965460 1110279 1245220 1480372 1494264 1850465 1867830 1930920 2220558 2490440 2960744 3700930 3735660 4441116 5551395 7401860 7471320 8882232 11102790 14803720 22205580 43558337 44411160 87116674 130675011 174233348 217791685 261350022 348466696 435583370 522700044 653375055 871166740 1001841751 1045400088 1306750110 1742333480 2003683502 2613500220 3005525253 4007367004 5009208755 5227000440 6011050506 8014734008 10018417510 12022101012 15027626265 20036835020 24044202024 30055252530 40073670040 60110505060 120221010120