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12112001120100 = 22352713742099413
BaseRepresentation
bin1011000001000000101110…
…0001100011011101100100
31120212220012011221111212210
42300100023201203131210
53041420334241320400
641432102042443420
72360030451561240
oct260201341433544
946786164844783
1012112001120100
11394a741967082
121437478803570
1369b20666690b
142dc31c86d420
151600daa4c950
hexb040b863764

12112001120100 has 144 divisors (see below), whose sum is σ = 40342689652608. Its totient is φ = 2748249615360.

The previous prime is 12112001119969. The next prime is 12112001120123. The reversal of 12112001120100 is 102110021121.

It is a super-2 number, since 2×121120011201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20762007 + ... + 21337406.

It is an arithmetic number, because the mean of its divisors is an integer number (280157567032).

Almost surely, 212112001120100 is an apocalyptic number.

12112001120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112001120100 is an abundant number, since it is smaller than the sum of its proper divisors (28230688532508).

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

12112001120100 is a wasteful number, since it uses less digits than its factorization.

12112001120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42099574 (or 42099567 counting only the distinct ones).

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

Adding to 12112001120100 its reverse (102110021121), we get a palindrome (12214111141221).

The spelling of 12112001120100 in words is "twelve trillion, one hundred twelve billion, one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 137 140 150 175 210 274 300 350 411 420 525 548 685 700 822 959 1050 1370 1644 1918 2055 2100 2740 2877 3425 3836 4110 4795 5754 6850 8220 9590 10275 11508 13700 14385 19180 20550 23975 28770 41100 47950 57540 71925 95900 143850 287700 42099413 84198826 126298239 168397652 210497065 252596478 294695891 420994130 505192956 589391782 631491195 841988260 884087673 1052485325 1178783564 1262982390 1473479455 1768175346 2104970650 2525964780 2946958910 3157455975 3536350692 4209941300 4420438365 5767619581 5893917820 6314911950 7367397275 8840876730 11535239162 12629823900 14734794550 17302858743 17681753460 22102191825 23070478324 28838097905 29469589100 34605717486 40373337067 44204383650 57676195810 69211434972 80746674134 86514293715 88408767300 115352391620 121120011201 144190489525 161493348268 173028587430 201866685335 242240022402 288380979050 346057174860 403733370670 432571468575 484480044804 576761958100 605600056005 807466741340 865142937150 1009333426675 1211200112010 1730285874300 2018666853350 2422400224020 3028000280025 4037333706700 6056000560050 12112001120100