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11212220100000 = 2535537374067
BaseRepresentation
bin1010001100101000110001…
…1001010110110110100000
31110200212200220012202121010
42203022030121112312200
52432200111321200000
635502453420500520
72235025160235123
oct243121431266640
943625626182533
1011212220100000
113633091a43107
1213110059aa740
1363440037bb1a
142aa9625aa3ba
151469c7878d50
hexa328c656da0

11212220100000 has 144 divisors (see below), whose sum is σ = 36787743621216. Its totient is φ = 2989925280000.

The previous prime is 11212220099981. The next prime is 11212220100013. The reversal of 11212220100000 is 102221211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18387034 + ... + 18987033.

It is an arithmetic number, because the mean of its divisors is an integer number (255470441814).

Almost surely, 211212220100000 is an apocalyptic number.

11212220100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212220100000 is an abundant number, since it is smaller than the sum of its proper divisors (25575523521216).

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

11212220100000 is an frugal number, since it uses more digits than its factorization.

11212220100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37374105 (or 37374077 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11212220100000 its reverse (102221211), we get a palindrome (11212322321211).

The spelling of 11212220100000 in words is "eleven trillion, two hundred twelve billion, two hundred twenty million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 37374067 74748134 112122201 149496268 186870335 224244402 298992536 373740670 448488804 560611005 597985072 747481340 896977608 934351675 1121222010 1195970144 1494962680 1793955216 1868703350 2242444020 2803055025 2989925360 3587910432 3737406700 4484888040 4671758375 5606110050 5979850720 7474813400 8969776080 9343516750 11212220100 14015275125 14949626800 17939552160 18687033500 22424440200 23358791875 28030550250 29899253600 37374067000 44848880400 46717583750 56061100500 70076375625 74748134000 89697760800 93435167500 112122201000 116793959375 140152751250 149496268000 186870335000 224244402000 233587918750 280305502500 350381878125 373740670000 448488804000 467175837500 560611005000 700763756250 747481340000 934351675000 1121222010000 1401527512500 1868703350000 2242444020000 2803055025000 3737406700000 5606110050000 11212220100000