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12001002112110 = 23511383657714437
BaseRepresentation
bin1010111010100011001101…
…1101111100010001101110
31120111021200110201200011210
42232220303131330101232
53033111023020041420
641305103444455250
72346021006561114
oct256506335742156
946437613650153
1012001002112110
113907661910530
121419a5b3aa526
136908c71b922b
142d6bccb19ab4
1515c290dbc9e0
hexaea3377c46e

12001002112110 has 128 divisors (see below), whose sum is σ = 31509816459264. Its totient is φ = 2901095516160.

The previous prime is 12001002112091. The next prime is 12001002112133. The reversal of 12001002112110 is 1121120010021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 831259812 + ... + 831274248.

It is an arithmetic number, because the mean of its divisors is an integer number (246170441088).

Almost surely, 212001002112110 is an apocalyptic number.

12001002112110 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 12001002112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15754908229632).

12001002112110 is an abundant number, since it is smaller than the sum of its proper divisors (19508814347154).

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

12001002112110 is a wasteful number, since it uses less digits than its factorization.

12001002112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21418.

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

Adding to 12001002112110 its reverse (1121120010021), we get a palindrome (13122122122131).

The spelling of 12001002112110 in words is "twelve trillion, one billion, two million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 383 766 1149 1915 2298 3830 4213 5745 6577 8426 11490 12639 13154 14437 19731 21065 25278 28874 32885 39462 42130 43311 63195 65770 72185 72347 86622 98655 126390 144370 144694 158807 197310 216555 217041 317614 361735 433110 434082 476421 723470 794035 952842 1085205 1588070 2170410 2382105 2518991 4764210 5037982 5529371 7556973 11058742 12594955 15113946 16588113 25189910 27646855 27708901 33176226 37784865 55293710 55417802 60823081 75569730 82940565 83126703 94952149 121646162 138544505 165881130 166253406 182469243 189904298 277089010 284856447 304115405 364938486 415633515 474760745 569712894 608230810 831267030 912346215 949521490 1044473639 1424282235 1824692430 2088947278 2848564470 3133420917 5222368195 6266841834 10444736390 15667104585 31334209170 36366673067 72733346134 109100019201 181833365335 218200038402 363666730670 400033403737 545500096005 800066807474 1091000192010 1200100211211 2000167018685 2400200422422 4000334037370 6000501056055 12001002112110