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12102012021000 = 2335311366727637
BaseRepresentation
bin1011000000011011100000…
…1000001010100100001000
31120211221102000200200222110
42300012320020022210020
53041234410034133000
641423330525422320
72356225065620316
oct260067010124410
946757360620873
1012102012021000
113946486318080
12143554b40a9a0
1369a2a3cc50a5
142dba51d470b6
1515ec03ae4850
hexb01b820a908

12102012021000 has 128 divisors (see below), whose sum is σ = 41190848300160. Its totient is φ = 2933821088000.

The previous prime is 12102012020981. The next prime is 12102012021007. The reversal of 12102012021000 is 12021020121.

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

It is not an unprimeable number, because it can be changed into a prime (12102012021007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183330819 + ... + 183396818.

It is an arithmetic number, because the mean of its divisors is an integer number (321803502345).

Almost surely, 212102012021000 is an apocalyptic number.

12102012021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102012021000 is an abundant number, since it is smaller than the sum of its proper divisors (29088836279160).

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

12102012021000 is a wasteful number, since it uses less digits than its factorization.

12102012021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366727672 (or 366727658 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102012021000 its reverse (12021020121), we get a palindrome (12114033041121).

The spelling of 12102012021000 in words is "twelve trillion, one hundred two billion, twelve million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 366727637 733455274 1100182911 1466910548 1833638185 2200365822 2933821096 3667276370 4034004007 4400731644 5500914555 7334552740 8068008014 8801463288 9168190925 11001829110 12102012021 14669105480 16136016028 18336381850 20170020035 22003658220 24204024042 27504572775 32272032056 36672763700 40340040070 44007316440 45840954625 48408048084 55009145550 60510060105 73345527400 80680080140 91681909250 96816096168 100850100175 110018291100 121020120210 137522863875 161360160280 183363818500 201700200350 220036582200 242040240420 275045727750 302550300525 366727637000 403400400700 484080480840 504250500875 550091455500 605100601050 806800801400 1008501001750 1100182911000 1210201202100 1512751502625 2017002003500 2420402404200 3025503005250 4034004007000 6051006010500 12102012021000