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120021120000210 = 235111359474185611
BaseRepresentation
bin11011010010100010011000…
…001110010010000011010010
3120201221220111012210012122110
4123102202120032102003102
5111212411223210001320
61103132535155450150
734165145145213612
oct3322423016220322
9521856435705573
10120021120000210
1135273742328a40
1211564a922b6956
1351c7c34b68810
14218d0a5dbca42
15dd20588a85e0
hex6d28983920d2

120021120000210 has 128 divisors (see below), whose sum is σ = 344144949765120. Its totient is φ = 26402654764800.

The previous prime is 120021120000167. The next prime is 120021120000211. The reversal of 120021120000210 is 12000021120021.

It is a super-2 number, since 2×1200211200002102 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120021120000211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236839696 + ... + 237345915.

It is an arithmetic number, because the mean of its divisors is an integer number (2688632420040).

Almost surely, 2120021120000210 is an apocalyptic number.

120021120000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120021120000210 is an abundant number, since it is smaller than the sum of its proper divisors (224123829764910).

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

120021120000210 is a wasteful number, since it uses less digits than its factorization.

120021120000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474185704.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120021120000210 its reverse (12000021120021), we get a palindrome (132021141120231).

The spelling of 120021120000210 in words is "one hundred twenty trillion, twenty-one billion, one hundred twenty million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 59 65 66 78 110 118 130 143 165 177 195 286 295 330 354 390 429 590 649 715 767 858 885 1298 1430 1534 1770 1947 2145 2301 3245 3835 3894 4290 4602 6490 7670 8437 9735 11505 16874 19470 23010 25311 42185 50622 84370 126555 253110 474185611 948371222 1422556833 2370928055 2845113666 4741856110 5216041721 6164412943 7112784165 10432083442 12328825886 14225568330 15648125163 18493238829 26080208605 27976951049 30822064715 31296250326 36986477658 52160417210 55953902098 61644129430 67808542373 78240625815 83930853147 92466194145 135617084746 139884755245 156481251630 167861706294 184932388290 203425627119 279769510490 307746461539 339042711865 363700363637 406851254238 419654265735 615492923078 678085423730 727400727274 839308531470 923239384617 1017128135595 1091101090911 1538732307695 1818501818185 1846478769234 2034256271190 2182202181822 3077464615390 3637003636370 4000704000007 4616196923085 5455505454555 8001408000014 9232393846170 10911010909110 12002112000021 20003520000035 24004224000042 40007040000070 60010560000105 120021120000210