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12116133220 = 2253743503757
BaseRepresentation
bin10110100100010110…
…11000010101100100
31011021101122100011211
423102023120111210
5144303212230340
65322134441204
7606151301362
oct132213302544
934241570154
1012116133220
115158272244
122421803204
1311b12366c9
1482d20c632
154ada605ea
hex2d22d8564

12116133220 has 96 divisors (see below), whose sum is σ = 26827815168. Its totient is φ = 4590577152.

The previous prime is 12116133209. The next prime is 12116133259. The reversal of 12116133220 is 2233161121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12116133191 and 12116133200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16005082 + ... + 16005838.

It is an arithmetic number, because the mean of its divisors is an integer number (279456408).

Almost surely, 212116133220 is an apocalyptic number.

12116133220 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 12116133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413907584).

12116133220 is an abundant number, since it is smaller than the sum of its proper divisors (14711681948).

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

12116133220 is a wasteful number, since it uses less digits than its factorization.

12116133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12116133220 its reverse (2233161121), we get a palindrome (14349294341).

The spelling of 12116133220 in words is "twelve billion, one hundred sixteen million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 43 74 86 148 172 185 215 370 430 503 740 757 860 1006 1514 1591 2012 2515 3028 3182 3785 5030 6364 7570 7955 10060 15140 15910 18611 21629 28009 31820 32551 37222 43258 56018 65102 74444 86516 93055 108145 112036 130204 140045 162755 186110 216290 280090 325510 372220 380771 432580 560180 651020 761542 800273 1204387 1523084 1600546 1903855 2408774 3201092 3807710 4001365 4817548 6021935 7615420 8002730 12043870 14088527 16005460 16373153 24087740 28177054 32746306 56354108 65492612 70442635 81865765 140885270 163731530 281770540 327463060 605806661 1211613322 2423226644 3029033305 6058066610 12116133220