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11021121211212 = 22327675091282427
BaseRepresentation
bin1010000001100000111000…
…0000111100101101001100
31110000121102212221101012100
42200120032000330231030
52421032224012224322
635235011100235100
72215151441415510
oct240301600745514
943017385841170
1011021121211212
11356a038670572
12129bb7323ba90
1361c397198178
142a15d471c140
15141a40a9adac
hexa060e03cb4c

11021121211212 has 144 divisors (see below), whose sum is σ = 32377511013120. Its totient is φ = 3095796882816.

The previous prime is 11021121211211. The next prime is 11021121211229. The reversal of 11021121211212 is 21211212112011.

It is a happy number.

11021121211212 is a `hidden beast` number, since 1 + 10 + 211 + 21 + 211 + 212 = 666.

It is a super-2 number, since 2×110211212112122 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11021121211211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7952743 + ... + 9235169.

It is an arithmetic number, because the mean of its divisors is an integer number (224843826480).

Almost surely, 211021121211212 is an apocalyptic number.

11021121211212 is a gapful number since it is divisible by the number (12) 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 11021121211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16188755506560).

11021121211212 is an abundant number, since it is smaller than the sum of its proper divisors (21356389801908).

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

11021121211212 is a wasteful number, since it uses less digits than its factorization.

11021121211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283020 (or 1283015 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11021121211212 its reverse (21211212112011), we get a palindrome (32232333323223).

The spelling of 11021121211212 in words is "eleven trillion, twenty-one billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 509 603 804 938 1018 1206 1407 1527 1876 2036 2412 2814 3054 3563 4221 4581 5628 6108 7126 8442 9162 10689 14252 16884 18324 21378 32067 34103 42756 64134 68206 102309 128268 136412 204618 238721 306927 409236 477442 613854 716163 954884 1227708 1282427 1432326 2148489 2564854 2864652 3847281 4296978 5129708 7694562 8593956 8976989 11541843 15389124 17953978 23083686 26930967 35907956 46167372 53861934 80792901 85922609 107723868 161585802 171845218 257767827 323171604 343690436 515535654 601458263 652755343 773303481 1031071308 1202916526 1305510686 1546606962 1804374789 1958266029 2405833052 2611021372 3093213924 3608749578 3916532058 4569287401 5413124367 5874798087 7217499156 7833064116 9138574802 10826248734 11749596174 13707862203 18277149604 21652497468 23499192348 27415724406 41123586609 43734607981 54831448812 82247173218 87469215962 131203823943 164494346436 174938431924 262407647886 306142255867 393611471829 524815295772 612284511734 787222943658 918426767601 1224569023468 1574445887316 1836853535202 2755280302803 3673707070404 5510560605606 11021121211212