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12001101231300 = 2235267837193611
BaseRepresentation
bin1010111010100011100101…
…1000000011010011000100
31120111021221101020110010220
42232220321120003103010
53033111223403400200
641305121345144340
72346023322224256
oct256507130032304
946437841213126
1012001101231300
113907702860215
121419a8862b0b0
136909118b1b3c
142d6bdbd5bcd6
1515c29994b4a0
hexaea396034c4

12001101231300 has 144 divisors (see below), whose sum is σ = 35666043393792. Its totient is φ = 3114545385600.

The previous prime is 12001101231299. The next prime is 12001101231307. The reversal of 12001101231300 is 313210110021.

It is a happy number.

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 12001101231300.

It is not an unprimeable number, because it can be changed into a prime (12001101231307) 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 47 ways as a sum of consecutive naturals, for example, 1928506 + ... + 5265105.

Almost surely, 212001101231300 is an apocalyptic number.

12001101231300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001101231300 is an abundant number, since it is smaller than the sum of its proper divisors (23664942162492).

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

12001101231300 is a wasteful number, since it uses less digits than its factorization.

12001101231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193778 (or 7193771 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12001101231300 its reverse (313210110021), we get a palindrome (12314311341321).

The spelling of 12001101231300 in words is "twelve trillion, one billion, one hundred one million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 83 100 134 150 166 201 249 268 300 332 335 402 415 498 670 804 830 996 1005 1245 1340 1660 1675 2010 2075 2490 3350 4020 4150 4980 5025 5561 6225 6700 8300 10050 11122 12450 16683 20100 22244 24900 27805 33366 55610 66732 83415 111220 139025 166830 278050 333660 417075 556100 834150 1668300 7193611 14387222 21580833 28774444 35968055 43161666 71936110 86323332 107904165 143872220 179840275 215808330 359680550 431616660 481971937 539520825 597069713 719361100 963943874 1079041650 1194139426 1445915811 1791209139 1927887748 2158083300 2388278852 2409859685 2891831622 2985348565 3582418278 4819719370 5783663244 5970697130 7164836556 7229579055 8956045695 9639438740 11941394260 12049298425 14459158110 14926742825 17912091390 24098596850 28918316220 29853485650 35824182780 36147895275 40003670771 44780228475 48197193700 59706971300 72295790550 80007341542 89560456950 120011012313 144591581100 160014683084 179120913900 200018353855 240022024626 400036707710 480044049252 600055061565 800073415420 1000091769275 1200110123130 2000183538550 2400220246260 3000275307825 4000367077100 6000550615650 12001101231300