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12103202131120 = 2451947245968897
BaseRepresentation
bin1011000000011111111100…
…0100000100110010110000
31120212001110222002120011001
42300013333010010302300
53041244324221143440
641424045001531344
72356266426445162
oct260077704046260
946761428076131
1012103202131120
113946a37089461
121435821aa3b54
1369a433735b69
142dbb26020932
1515ec73329b9a
hexb01ff104cb0

12103202131120 has 160 divisors (see below), whose sum is σ = 30263970124800. Its totient is φ = 4487001366528.

The previous prime is 12103202131117. The next prime is 12103202131127. The reversal of 12103202131120 is 2113120230121.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (12103202131127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175636512 + ... + 175705408.

It is an arithmetic number, because the mean of its divisors is an integer number (189149813280).

Almost surely, 212103202131120 is an apocalyptic number.

12103202131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103202131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15131985062400).

12103202131120 is an abundant number, since it is smaller than the sum of its proper divisors (18160767993680).

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

12103202131120 is a wasteful number, since it uses less digits than its factorization.

12103202131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71435 (or 71429 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12103202131120 its reverse (2113120230121), we get a palindrome (14216322361241).

The spelling of 12103202131120 in words is "twelve trillion, one hundred three billion, two hundred two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 47 76 80 94 95 152 188 190 235 304 376 380 470 752 760 893 940 1520 1786 1880 2459 3572 3760 4465 4918 7144 8930 9836 12295 14288 17860 19672 24590 35720 39344 46721 49180 68897 71440 93442 98360 115573 137794 186884 196720 231146 233605 275588 344485 373768 462292 467210 551176 577865 688970 747536 924584 934420 1102352 1155730 1309043 1377940 1849168 1868840 2195887 2311460 2618086 2755880 3238159 3737680 4391774 4622920 5236172 5511760 6476318 6545215 8783548 9245840 10472344 10979435 12952636 13090430 16190795 17567096 20944688 21958870 25905272 26180860 32381590 35134192 43917740 51810544 52361720 61525021 64763180 87835480 104723440 123050042 129526360 169417723 175670960 246100084 259052720 307625105 338835446 492200168 615250210 677670892 847088615 984400336 1230500420 1355341784 1694177230 2461000840 2710683568 3218936737 3388354460 4922001680 6437873474 6776708920 7962632981 12875746948 13553417840 15925265962 16094683685 25751493896 31850531924 32189367370 39813164905 51502987792 63701063848 64378734740 79626329810 127402127696 128757469480 151290026639 159252659620 257514938960 302580053278 318505319240 605160106556 637010638480 756450133195 1210320213112 1512900266390 2420640426224 3025800532780 6051601065560 12103202131120