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120212102100112 = 2411171311459321017
BaseRepresentation
bin11011010101010100001111…
…101001001011010010010000
3120202122011110002022002210221
4123111110033221023102100
5111224023341114200422
61103400402145002424
734215015645244651
oct3325241751132220
9522564402262727
10120212102100112
1135337736792340
1211595ab1923414
13520cc4caab019
142198422549528
15dd6ed52b73c7
hex6d550fa4b490

120212102100112 has 160 divisors (see below), whose sum is σ = 271115973431424. Its totient is φ = 51029134540800.

The previous prime is 120212102100059. The next prime is 120212102100137. The reversal of 120212102100112 is 211001201212021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5719745028 + ... + 5719766044.

Almost surely, 2120212102100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212102100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135557986715712).

120212102100112 is an abundant number, since it is smaller than the sum of its proper divisors (150903871331312).

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

120212102100112 is a wasteful number, since it uses less digits than its factorization.

120212102100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35777 (or 35771 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120212102100112 its reverse (211001201212021), we get a palindrome (331213303312133).

The spelling of 120212102100112 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 131 136 176 187 262 272 374 524 748 1048 1441 1496 2096 2227 2882 2992 4454 5764 8908 11528 14593 17816 21017 23056 24497 29186 35632 42034 48994 58372 84068 97988 116744 160523 168136 195976 231187 233488 248081 321046 336272 357289 391952 462374 496162 642092 714578 924748 992324 1284184 1429156 1849496 1911683 1984648 2568368 2728891 2753227 2858312 3698992 3823366 3930179 3969296 5457782 5506454 5716624 7646732 7860358 10915564 11012908 15293464 15720716 21028513 21831128 22025816 30285497 30586928 31441432 32498611 42057026 43662256 44051632 46804859 60570994 62882864 64997222 84114052 93609718 121141988 129994444 168228104 187219436 242283976 259988888 306701081 336456208 357484721 374438872 484567952 514853449 519977776 613402162 714969442 748877744 1029706898 1226804324 1429938884 2059413796 2453608648 2859877768 3373711891 4118827592 4907217296 5213918377 5719755536 6747423782 8237655184 10427836754 13494847564 20855673508 26989695128 40177841611 41711347016 53979390256 57353102147 80355683222 83422694032 114706204294 160711366444 229412408588 321422732888 441956257721 458824817176 642845465776 683023307387 883912515442 917649634352 1366046614774 1767825030884 2732093229548 3535650061768 5464186459096 7071300123536 7513256381257 10928372918192 15026512762514 30053025525028 60106051050056 120212102100112