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21212012111121 = 321319611111714071
BaseRepresentation
bin1001101001010110011100…
…11100100110010100010001
32210002211220121002002022200
410310223032130212110101
510240014200100023441
6113040355215553413
74316342302003026
oct464531634462421
983084817062280
1021212012111121
116838a66927a97
122467043b2b869
13bab3903b39b0
14534949c3754d
1526bb8e3d57b6
hex134ace726511

21212012111121 has 96 divisors (see below), whose sum is σ = 35308199297280. Its totient is φ = 12161828851200.

The previous prime is 21212012111119. The next prime is 21212012111153. The reversal of 21212012111121 is 12111121021212.

It is a happy number.

21212012111121 is a `hidden beast` number, since 212 + 120 + 1 + 211 + 1 + 121 = 666.

It is not a de Polignac number, because 21212012111121 - 21 = 21212012111119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21212012111094 and 21212012111103.

It is not an unprimeable number, because it can be changed into a prime (21212012161121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1507491516 + ... + 1507505586.

It is an arithmetic number, because the mean of its divisors is an integer number (367793742680).

Almost surely, 221212012111121 is an apocalyptic number.

It is an amenable number.

21212012111121 is a deficient number, since it is larger than the sum of its proper divisors (14096187186159).

21212012111121 is a wasteful number, since it uses less digits than its factorization.

21212012111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25287 (or 25284 counting only the distinct ones).

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

Adding to 21212012111121 its reverse (12111121021212), we get a palindrome (33323133132333).

The spelling of 21212012111121 in words is "twenty-one trillion, two hundred twelve billion, twelve million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 13 19 39 57 61 117 171 183 247 549 741 793 1159 2223 2379 3477 7137 10431 11117 14071 15067 33351 42213 45201 100053 126639 135603 144521 182923 211223 267349 433563 548769 633669 678137 802047 858331 1300689 1646307 1901007 2034411 2406141 2574993 2745899 3475537 6103233 7724979 8237697 8815781 10426611 11158303 12884603 16308289 24713091 26447343 31279833 33474909 38653809 48924867 79342029 100424727 115961427 146774601 156427307 167499839 212007757 469281921 502499517 636023271 1407845763 1507498551 1908069813 2033554991 2972118833 6100664973 8916356499 9542065727 18301994919 26749069497 28626197181 38637544829 85878591543 115912634487 124046854451 181299248813 347737903461 372140563353 543897746439 1116421690059 1631693239317 2356890234569 7070670703707 21212012111121