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120101220000223 = 72111931217876829
BaseRepresentation
bin11011010011101100111110…
…100011100010000111011111
3120202020120020112001210212121
4123103230332203202013133
5111220214244310001343
61103233423324443411
734204012123040500
oct3323547643420737
9522216215053777
10120101220000223
11352a4706726560
12115785076a9567
13520265b914127
142192d04148ba7
15dd4195a2baed
hex6d3b3e8e21df

120101220000223 has 144 divisors (see below), whose sum is σ = 165891282249600. Its totient is φ = 85739256086400.

The previous prime is 120101220000221. The next prime is 120101220000227. The reversal of 120101220000223 is 322000022101021.

It is a happy number.

It is not a de Polignac number, because 120101220000223 - 21 = 120101220000221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120101220000197 and 120101220000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120101220000221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17586937573 + ... + 17586944401.

It is an arithmetic number, because the mean of its divisors is an integer number (1152022793400).

Almost surely, 2120101220000223 is an apocalyptic number.

120101220000223 is a deficient number, since it is larger than the sum of its proper divisors (45790062249377).

120101220000223 is a wasteful number, since it uses less digits than its factorization.

120101220000223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8722 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120101220000223 its reverse (322000022101021), we get a palindrome (442101242101244).

The spelling of 120101220000223 in words is "one hundred twenty trillion, one hundred one billion, two hundred twenty million, two hundred twenty-three", and thus it is an aban number.

Divisors: 1 7 11 19 31 49 77 133 209 217 341 539 589 931 961 1463 1519 1787 2387 4123 6479 6727 6829 10241 10571 12509 16709 18259 19657 28861 33953 45353 47089 47803 55397 73997 75119 87563 127813 129751 137599 200849 211699 237671 317471 334621 373483 387779 517979 525833 609367 894691 908257 963193 1052543 1405943 1427261 1481893 1663697 1717307 2328689 2614381 2714453 3680831 4022281 4265569 6357799 6562669 7367801 9841601 9990827 10373251 11577973 12021149 12203423 16300823 18300667 18890377 28155967 29858983 32628833 44245091 45938683 51574607 69935789 72189359 81045811 84148043 85423961 114105761 124690711 132232639 134237653 197091769 228401831 231865037 309715637 321570781 358917163 378306113 505325513 567320677 597967727 872834977 925628473 939663571 1371597821 1598812817 1623055259 2168009459 2512420141 2550515407 2648142791 3537278591 4161367243 6109844839 6577644997 7187816147 9601184747 11361386813 11727489503 17586940987 17853607849 18536999537 29129570701 50314713029 67208293229 79065977617 82092426521 124975254943 129002384533 203906994907 222822300557 352202991203 553461843319 574646985647 903016691731 1559756103899 2451045306127 3874232903233 6321116842117 10918292727293 17157317142889 120101220000223