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12104083600 = 245276170867
BaseRepresentation
bin10110100010111010…
…11010100010010000
31011020112222011012121
423101131122202100
5144242121133400
65321024304024
7605644004320
oct132135324220
934215864177
1012104083600
115151492184
122419772014
1311ab8a7c5b
1482b793280
154ac98021a
hex2d175a890

12104083600 has 120 divisors (see below), whose sum is σ = 33779657408. Its totient is φ = 4081881600.

The previous prime is 12104083583. The next prime is 12104083601. The reversal of 12104083600 is 638040121.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12104083601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135367 + ... + 206233.

Almost surely, 212104083600 is an apocalyptic number.

12104083600 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 12104083600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16889828704).

12104083600 is an abundant number, since it is smaller than the sum of its proper divisors (21675573808).

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

12104083600 is a wasteful number, since it uses less digits than its factorization.

12104083600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70953 (or 70942 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 12104083600 in words is "twelve billion, one hundred four million, eighty-three thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 61 70 80 100 112 122 140 175 200 244 280 305 350 400 427 488 560 610 700 854 976 1220 1400 1525 1708 2135 2440 2800 3050 3416 4270 4880 6100 6832 8540 10675 12200 17080 21350 24400 34160 42700 70867 85400 141734 170800 283468 354335 496069 566936 708670 992138 1133872 1417340 1771675 1984276 2480345 2834680 3543350 3968552 4322887 4960690 5669360 7086700 7937104 8645774 9921380 12401725 14173400 17291548 19842760 21614435 24803450 28346800 30260209 34583096 39685520 43228870 49606900 60520418 69166192 86457740 99213800 108072175 121040836 151301045 172915480 198427600 216144350 242081672 302602090 345830960 432288700 484163344 605204180 756505225 864577400 1210408360 1513010450 1729154800 2420816720 3026020900 6052041800 12104083600