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12131112000120 = 2335477329464471
BaseRepresentation
bin1011000010000111111010…
…0111110001101001111000
31120221201112001102210210220
42300201332213301221320
53042224004133000440
641444542251140040
72361305156432511
oct260417647615170
946851461383726
1012131112000120
1139578595150a3
12143b110a44620
1369cc60a87149
142dd212a2ba08
151608586da8d0
hexb087e9f1a78

12131112000120 has 128 divisors (see below), whose sum is σ = 37676809635840. Its totient is φ = 3122762388480.

The previous prime is 12131112000101. The next prime is 12131112000181. The reversal of 12131112000120 is 2100021113121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12131112000120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14320516 + ... + 15143955.

It is an arithmetic number, because the mean of its divisors is an integer number (294350075280).

Almost surely, 212131112000120 is an apocalyptic number.

12131112000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131112000120 is an abundant number, since it is smaller than the sum of its proper divisors (25545697635720).

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

12131112000120 is a wasteful number, since it uses less digits than its factorization.

12131112000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29464605 (or 29464601 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12131112000120 its reverse (2100021113121), we get a palindrome (14231133113241).

The spelling of 12131112000120 in words is "twelve trillion, one hundred thirty-one billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 73 94 120 141 146 188 219 235 282 292 365 376 438 470 564 584 705 730 876 940 1095 1128 1410 1460 1752 1880 2190 2820 2920 3431 4380 5640 6862 8760 10293 13724 17155 20586 27448 34310 41172 51465 68620 82344 102930 137240 205860 411720 29464471 58928942 88393413 117857884 147322355 176786826 235715768 294644710 353573652 441967065 589289420 707147304 883934130 1178578840 1384830137 1767868260 2150906383 2769660274 3535736520 4154490411 4301812766 5539320548 6452719149 6924150685 8308980822 8603625532 10754531915 11078641096 12905438298 13848301370 16617961644 17207251064 20772452055 21509063830 25810876596 27696602740 32263595745 33235923288 41544904110 43018127660 51621753192 55393205480 64527191490 83089808220 86036255320 101092600001 129054382980 166179616440 202185200002 258108765960 303277800003 404370400004 505463000005 606555600006 808740800008 1010926000010 1213111200012 1516389000015 2021852000020 2426222400024 3032778000030 4043704000040 6065556000060 12131112000120