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12001111100202 = 2372473313262153
BaseRepresentation
bin1010111010100011100111…
…1101101100101100101010
31120111021222001210211201210
42232220321331230230222
53033111233420201302
641305122340453550
72346023502136500
oct256507175545452
946437861724653
1012001111100202
113907708390934
121419a8b9aa2b6
13690913958b23
142d6bdd3aa670
1515c29a74a66c
hexaea39f6cb2a

12001111100202 has 96 divisors (see below), whose sum is σ = 28523730984192. Its totient is φ = 3354908046336.

The previous prime is 12001111100189. The next prime is 12001111100203. The reversal of 12001111100202 is 20200111110021.

It is not an unprimeable number, because it can be changed into a prime (12001111100203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45647958 + ... + 45910110.

It is an arithmetic number, because the mean of its divisors is an integer number (297122197752).

Almost surely, 212001111100202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001111100202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14261865492096).

12001111100202 is an abundant number, since it is smaller than the sum of its proper divisors (16522619883990).

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

12001111100202 is a wasteful number, since it uses less digits than its factorization.

12001111100202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265532 (or 265525 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001111100202 its reverse (20200111110021), we get a palindrome (32201222210223).

The spelling of 12001111100202 in words is "twelve trillion, one billion, one hundred eleven million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 141 147 282 294 329 658 987 1974 2303 3313 4606 6626 6909 9939 13818 19878 23191 46382 69573 139146 155711 162337 262153 311422 324674 467133 487011 524306 786459 934266 974022 1089977 1572918 1835071 2179954 3269931 3670142 5505213 6539862 7629839 11010426 12321191 12845497 15259678 22889517 24642382 25690994 36963573 38536491 45779034 73927146 77072982 86248337 172496674 258745011 517490022 603738359 868512889 1207476718 1737025778 1811215077 2605538667 3622430154 5211077334 6079590223 12159180446 18238770669 36477541338 40820105783 42557131561 81640211566 85114263122 122460317349 127671394683 244920634698 255342789366 285740740481 571481480962 857222221443 1714444442886 2000185183367 4000370366734 6000555550101 12001111100202