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12101211102000 = 243534346903919
BaseRepresentation
bin1011000000011000100001…
…1000111001101100110000
31120211212100012121210122210
42300012020120321230300
53041231240020231000
641423115235132120
72356166202125436
oct260061030715460
946755305553583
1012101211102000
113946105209849
121435367144040
1369a1a70acb17
142db9b781cd56
1515eba863a350
hexb0188639b30

12101211102000 has 160 divisors (see below), whose sum is σ = 39921614853120. Its totient is φ = 3151943289600.

The previous prime is 12101211101999. The next prime is 12101211102017. The reversal of 12101211102000 is 20111210121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23193960 + ... + 23709959.

It is an arithmetic number, because the mean of its divisors is an integer number (249510092832).

Almost surely, 212101211102000 is an apocalyptic number.

12101211102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101211102000 is an abundant number, since it is smaller than the sum of its proper divisors (27820403751120).

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

12101211102000 is a wasteful number, since it uses less digits than its factorization.

12101211102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46903988 (or 46903972 counting only the distinct ones).

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

Adding to 12101211102000 its reverse (20111210121), we get a palindrome (12121322312121).

The spelling of 12101211102000 in words is "twelve trillion, one hundred one billion, two hundred eleven million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 645 688 750 860 1000 1032 1075 1200 1290 1500 1720 2000 2064 2150 2580 3000 3225 3440 4300 5160 5375 6000 6450 8600 10320 10750 12900 16125 17200 21500 25800 32250 43000 51600 64500 86000 129000 258000 46903919 93807838 140711757 187615676 234519595 281423514 375231352 469039190 562847028 703558785 750462704 938078380 1125694056 1172597975 1407117570 1876156760 2016868517 2251388112 2345195950 2814235140 3517793925 3752313520 4033737034 4690391900 5628470280 5862989875 6050605551 7035587850 8067474068 9380783800 10084342585 11256940560 11725979750 12101211102 14071175700 16134948136 17588969625 18761567600 20168685170 23451959500 24202422204 28142351400 30253027755 32269896272 35177939250 40337370340 46903919000 48404844408 50421712925 56284702800 60506055510 70355878500 80674740680 93807838000 96809688816 100843425850 121012111020 140711757000 151265138775 161349481360 201686851700 242024222040 252108564625 281423514000 302530277550 403373703400 484048444080 504217129250 605060555100 756325693875 806747406800 1008434258500 1210121110200 1512651387750 2016868517000 2420242220400 3025302775500 4033737034000 6050605551000 12101211102000