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120320200211220 = 223251991138618381
BaseRepresentation
bin11011010110111000111010…
…110010101111101100010100
3120210000111110121222010002200
4123112320322302233230110
5111232311232223224340
61103522200434404500
734225563504110562
oct3326707262575424
9523014417863080
10120320200211220
1135379568307149
12115b2a3b730730
13521a1b9262689
14219d758cd2a32
15dd9c1042c330
hex6d6e3acafb14

120320200211220 has 144 divisors (see below), whose sum is σ = 384602011073280. Its totient is φ = 30363315091200.

The previous prime is 120320200211209. The next prime is 120320200211243. The reversal of 120320200211220 is 22112002023021.

120320200211220 is a `hidden beast` number, since 1 + 2 + 0 + 32 + 0 + 200 + 211 + 220 = 666.

It is a super-2 number, since 2×1203202002112202 (a number of 29 digits) contains 22 as substring.

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 = 120320200211193 and 120320200211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16193571 + ... + 22424810.

It is an arithmetic number, because the mean of its divisors is an integer number (2670847299120).

Almost surely, 2120320200211220 is an apocalyptic number.

120320200211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120320200211220 is an abundant number, since it is smaller than the sum of its proper divisors (264281810862060).

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

120320200211220 is a wasteful number, since it uses less digits than its factorization.

120320200211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38619326 (or 38619321 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120320200211220 its reverse (22112002023021), we get a palindrome (142432202234241).

The spelling of 120320200211220 in words is "one hundred twenty trillion, three hundred twenty billion, two hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 911 1140 1710 1822 2733 3420 3644 4555 5466 8199 9110 10932 13665 16398 17309 18220 27330 32796 34618 40995 51927 54660 69236 81990 86545 103854 155781 163980 173090 207708 259635 311562 346180 519270 623124 778905 1038540 1557810 3115620 38618381 77236762 115855143 154473524 193091905 231710286 347565429 386183810 463420572 579275715 695130858 733749239 772367620 1158551430 1390261716 1467498478 1737827145 2201247717 2317102860 2934996956 3475654290 3668746195 4402495434 6603743151 6951308580 7337492390 8804990868 11006238585 13207486302 14674984780 22012477170 26414972604 33018715755 35181345091 44024954340 66037431510 70362690182 105544035273 132074863020 140725380364 175906725455 211088070546 316632105819 351813450910 422176141092 527720176365 633264211638 668445556729 703626901820 1055440352730 1266528423276 1336891113458 1583160529095 2005336670187 2110880705460 2673782226916 3166321058190 3342227783645 4010673340374 6016010010561 6332642116380 6684455567290 8021346680748 10026683350935 12032020021122 13368911134580 20053366701870 24064040042244 30080050052805 40106733403740 60160100105610 120320200211220