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12119986760 = 23571911320161
BaseRepresentation
bin10110100100110100…
…00101001001001000
31011021122220010020112
423102122011021020
5144310204034020
65322353213452
7606226121240
oct132232051110
934248803215
1012119986760
11515a464492
122422b61288
1311b1c856cb
1482d932b20
154ae0722c5
hex2d2685248

12119986760 has 128 divisors (see below), whose sum is σ = 33097939200. Its totient is φ = 3901685760.

The previous prime is 12119986721. The next prime is 12119986777. The reversal of 12119986760 is 6768991121.

It is a junction number, because it is equal to n+sod(n) for n = 12119986699 and 12119986708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591080 + ... + 611240.

It is an arithmetic number, because the mean of its divisors is an integer number (258577650).

Almost surely, 212119986760 is an apocalyptic number.

12119986760 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 12119986760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16548969600).

12119986760 is an abundant number, since it is smaller than the sum of its proper divisors (20977952440).

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

12119986760 is a wasteful number, since it uses less digits than its factorization.

12119986760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20311 (or 20307 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 50.

The spelling of 12119986760 in words is "twelve billion, one hundred nineteen million, nine hundred eighty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 113 133 140 152 190 226 266 280 380 452 532 565 665 760 791 904 1064 1130 1330 1582 2147 2260 2660 3164 3955 4294 4520 5320 6328 7910 8588 10735 15029 15820 17176 20161 21470 30058 31640 40322 42940 60116 75145 80644 85880 100805 120232 141127 150290 161288 201610 282254 300580 383059 403220 564508 601160 705635 766118 806440 1129016 1411270 1532236 1915295 2278193 2681413 2822540 3064472 3830590 4556386 5362826 5645080 7661180 9112772 10725652 11390965 13407065 15322360 15947351 18225544 21451304 22781930 26814130 31894702 43285667 45563860 53628260 63789404 79736755 86571334 91127720 107256520 127578808 159473510 173142668 216428335 302999669 318947020 346285336 432856670 605999338 637894040 865713340 1211998676 1514998345 1731426680 2423997352 3029996690 6059993380 12119986760