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11222121102012 = 2232109163115315217
BaseRepresentation
bin1010001101001101101010…
…0010101011101010111100
31110201211020220200210000100
42203103122202223222330
52432330401000231022
635511212105401100
72235525423330162
oct243233242535274
943654226623010
1011222121102012
1136373028904a7
121312b09799190
1363531a6b68b2
142ab22151d232
15146da6bce1ac
hexa34da8ababc

11222121102012 has 144 divisors (see below), whose sum is σ = 28829779058080. Its totient is φ = 3680213336064.

The previous prime is 11222121102011. The next prime is 11222121102037. The reversal of 11222121102012 is 21020112122211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222121102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737465028 + ... + 737480244.

Almost surely, 211222121102012 is an apocalyptic number.

11222121102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11222121102012 is an abundant number, since it is smaller than the sum of its proper divisors (17607657956068).

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

11222121102012 is a wasteful number, since it uses less digits than its factorization.

11222121102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16652 (or 16647 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11222121102012 its reverse (21020112122211), we get a palindrome (32242233224223).

The spelling of 11222121102012 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 109 163 218 326 327 436 489 652 654 978 981 1153 1308 1467 1956 1962 2306 2934 3459 3924 4612 5868 6918 10377 13836 15217 17767 20754 30434 35534 41508 45651 53301 60868 71068 91302 106602 125677 136953 159903 182604 187939 213204 251354 273906 319806 375878 377031 502708 547812 563817 639612 751756 754062 1127634 1131093 1508124 1658653 1691451 2255268 2262186 2480371 3317306 3382902 4524372 4960742 4975959 6634612 6765804 7441113 9921484 9951918 14882226 14927877 17545201 19903836 20485351 22323339 29764452 29855754 35090402 40970702 44646678 52635603 59711508 61456053 70180804 81941404 89293356 105271206 122912106 157906809 184368159 210542412 245824212 270360439 315813618 368736318 540720878 631627236 737472636 811081317 1081441756 1622162634 1912426909 2433243951 2859867763 3244325268 3824853818 4866487902 5719735526 5737280727 7649707636 8579603289 9732975804 11439471052 11474561454 17159206578 17211842181 22949122908 25738809867 34318413156 34423684362 51477619734 68847368724 102955239468 311725586167 623451172334 935176758501 1246902344668 1870353517002 2805530275503 3740707034004 5611060551006 11222121102012