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12001102233312 = 253197297901679
BaseRepresentation
bin1010111010100011100101…
…1011110111111011100000
31120111021221110010100122110
42232220321123313323200
53033111224132431222
641305121422435320
72346023333566503
oct256507133677340
946437843110573
1012001102233312
113907703385025
121419a88a32b40
13690911b72c4a
142d6bdc13d13a
1515c299a9830c
hexaea396f7ee0

12001102233312 has 96 divisors (see below), whose sum is σ = 33165521625600. Its totient is φ = 3789298188288.

The previous prime is 12001102233299. The next prime is 12001102233343. The reversal of 12001102233312 is 21333220110021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12858889 + ... + 13760567.

It is an arithmetic number, because the mean of its divisors is an integer number (345474183600).

Almost surely, 212001102233312 is an apocalyptic number.

12001102233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001102233312 is an abundant number, since it is smaller than the sum of its proper divisors (21164419392288).

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

12001102233312 is a wasteful number, since it uses less digits than its factorization.

12001102233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909008 (or 909000 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12001102233312 its reverse (21333220110021), we get a palindrome (33334322343333).

The spelling of 12001102233312 in words is "twelve trillion, one billion, one hundred two million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 7297 14594 21891 29188 43782 58376 87564 116752 138643 175128 233504 277286 350256 415929 554572 700512 831858 901679 1109144 1663716 1803358 2218288 2705037 3327432 3606716 4436576 5410074 6654864 7213432 10820148 13309728 14426864 17131901 21640296 28853728 34263802 43280592 51395703 68527604 86561184 102791406 137055208 205582812 274110416 411165624 548220832 822331248 1644662496 6579551663 13159103326 19738654989 26318206652 39477309978 52636413304 78954619956 105272826608 125011481597 157909239912 210545653216 250022963194 315818479824 375034444791 500045926388 631636959648 750068889582 1000091852776 1500137779164 2000183705552 3000275558328 4000367411104 6000551116656 12001102233312