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122012121210 = 235741989153
BaseRepresentation
bin111000110100001111…
…1010011100001111010
3102122221020022221220020
41301220133103201322
53444340100334320
6132015051111310
711546400630000
oct1615037234172
9378836287806
10122012121210
1147821730611
121b791742536
13b676016935
145c96678a70
15329195e940
hex1c687d387a

122012121210 has 160 divisors (see below), whose sum is σ = 359597309760. Its totient is φ = 26420373504.

The previous prime is 122012121169. The next prime is 122012121227. The reversal of 122012121210 is 12121210221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122012121210.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1323994 + ... + 1413146.

It is an arithmetic number, because the mean of its divisors is an integer number (2247483186).

Almost surely, 2122012121210 is an apocalyptic number.

122012121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122012121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179798654880).

122012121210 is an abundant number, since it is smaller than the sum of its proper divisors (237585188550).

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

122012121210 is an equidigital number, since it uses as much as digits as its factorization.

122012121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89210 (or 89189 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122012121210 its reverse (12121210221), we get a palindrome (134133331431).

The spelling of 122012121210 in words is "one hundred twenty-two billion, twelve million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 343 399 490 570 665 686 735 798 931 1029 1330 1470 1715 1862 1995 2058 2401 2793 3430 3990 4655 4802 5145 5586 6517 7203 9310 10290 12005 13034 13965 14406 19551 24010 27930 32585 36015 39102 45619 65170 72030 89153 91238 97755 136857 178306 195510 228095 267459 273714 445765 456190 534918 624071 684285 891530 1248142 1337295 1368570 1693907 1872213 2674590 3120355 3387814 3744426 4368497 5081721 6240710 8469535 8736994 9361065 10163442 11857349 13105491 16939070 18722130 21842485 23714698 25408605 26210982 30579479 35572047 43684970 50817210 59286745 61158958 65527455 71144094 83001443 91738437 118573490 131054910 152897395 166002886 177860235 183476874 214056353 249004329 305794790 355720470 415007215 428112706 458692185 498008658 581010101 642169059 830014430 917384370 1070281765 1162020202 1245021645 1284338118 1743030303 2140563530 2490043290 2905050505 3210845295 3486060606 4067070707 5810101010 6421690590 8134141414 8715151515 12201212121 17430303030 20335353535 24402424242 40670707070 61006060605 122012121210