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120120111101202 = 231711323949678779
BaseRepresentation
bin11011010011111110100100…
…100011010111010100010010
3120202022101000002000011122020
4123103332210203113110102
5111221021441420214302
61103250230042352310
734205251221535602
oct3323764443272422
9522271002004566
10120120111101202
1135301720212303
12115800ba1bb696
13520437c6436a4
142193bb7056c02
15dd48ee254ebc
hex6d3fa48d7512

120120111101202 has 128 divisors (see below), whose sum is σ = 257778057830400. Its totient is φ = 37183241711616.

The previous prime is 120120111101201. The next prime is 120120111101257. The reversal of 120120111101202 is 202101111021021.

It is a happy number.

It is a super-2 number, since 2×1201201111012022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120120111101201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13682660049 + ... + 13682668827.

It is an arithmetic number, because the mean of its divisors is an integer number (2013891076800).

Almost surely, 2120120111101202 is an apocalyptic number.

120120111101202 is an abundant number, since it is smaller than the sum of its proper divisors (137657946729198).

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

120120111101202 is a wasteful number, since it uses less digits than its factorization.

120120111101202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14120.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120120111101202 its reverse (202101111021021), we get a palindrome (322221222122223).

The spelling of 120120111101202 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred eleven million, one hundred one thousand, two hundred two".

Divisors: 1 2 3 6 17 34 51 102 113 226 239 339 478 678 717 1434 1921 3842 4063 4967 5763 8126 8779 9934 11526 12189 14901 17558 24378 26337 27007 29802 52674 54014 81021 84439 149243 162042 168878 253317 298486 447729 459119 506634 561271 895458 918238 992027 1122542 1187113 1377357 1683813 1984054 2098181 2374226 2754714 2976081 3367626 3561339 4196362 5952162 6294543 7122678 9541607 12589086 16864459 19083214 20180921 28624821 33728918 35669077 40361842 43605293 50593377 57249642 60542763 71338154 87210586 101186754 107007231 121085526 130815879 134143769 214014462 237094453 261631758 268287538 402431307 474188906 711283359 741289981 804862614 1422566718 1482579962 2223869943 2280444073 4030605701 4447739886 4560888146 4927398109 6841332219 8061211402 9854796218 10421665027 12091817103 13682664438 14782194327 20843330054 24183634206 29564388654 31264995081 62529990162 83765767853 167531535706 177168305459 251297303559 354336610918 502594607118 531504916377 1063009832754 1177648148051 2355296296102 3532944444153 7065888888306 20020018516867 40040037033734 60060055550601 120120111101202