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120021012021222 = 232131946358305139
BaseRepresentation
bin11011010010100010010001…
…110010010111111111100110
3120201221220012200121022022200
4123102202101302113333212
5111212411013034134342
61103132520341235330
734165142364340224
oct3322422162277746
9521856180538280
10120021012021222
1135273697387804
1211564a62102b46
1351c7c18690320
14218d095911b14
15dd204e17994c
hex6d2891c97fe6

120021012021222 has 96 divisors (see below), whose sum is σ = 295425147763200. Its totient is φ = 34910317987776.

The previous prime is 120021012021217. The next prime is 120021012021223. The reversal of 120021012021222 is 222120210120021.

It is a happy number.

120021012021222 is a `hidden beast` number, since 1 + 200 + 210 + 1 + 20 + 212 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120021012021195 and 120021012021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021012021223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27094072 + ... + 31211067.

It is an arithmetic number, because the mean of its divisors is an integer number (3077345289200).

Almost surely, 2120021012021222 is an apocalyptic number.

120021012021222 is an abundant number, since it is smaller than the sum of its proper divisors (175404135741978).

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

120021012021222 is a wasteful number, since it uses less digits than its factorization.

120021012021222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58305642 (or 58305639 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120021012021222 its reverse (222120210120021), we get a palindrome (342141222141243).

The spelling of 120021012021222 in words is "one hundred twenty trillion, twenty-one billion, twelve million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 463 494 741 926 1389 1482 2223 2778 4167 4446 6019 8334 8797 12038 17594 18057 26391 36114 52782 54171 79173 108342 114361 158346 228722 343083 686166 1029249 2058498 58305139 116610278 174915417 349830834 524746251 757966807 1049492502 1107797641 1515933614 2215595282 2273900421 3323392923 4547800842 6646785846 6821701263 9970178769 13643402526 14401369333 19940357538 26995279357 28802738666 43204107999 53990558714 80985838071 86408215998 129612323997 161971676142 242957514213 259224647994 350938631641 485915028426 512910307783 701877263282 1025820615566 1052815894923 1538730923349 2105631789846 3077461846698 3158447684769 4616192770047 6316895369538 6667834001179 9232385540094 13335668002358 20003502003537 40007004007074 60010506010611 120021012021222