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20121221121111 = 3311241281112943
BaseRepresentation
bin1001001001100110101100…
…01111001100010001010111
32122020120101111101111102000
410210303112033030101113
510114131230101333421
6110443321131250343
74144465421401065
oct444632617142127
978216344344360
1020121221121111
1164583a8844560
12230b7642a99b3
13b2c566479076
144d7c2d831035
1524d5ec14a226
hex124cd63cc457

20121221121111 has 32 divisors (see below), whose sum is σ = 32654079575040. Its totient is φ = 12144079094400.

The previous prime is 20121221121083. The next prime is 20121221121121. The reversal of 20121221121111 is 11112112212102.

It is a happy number.

20121221121111 is a `hidden beast` number, since 20 + 1 + 212 + 211 + 211 + 11 = 666.

It is not a de Polignac number, because 20121221121111 - 215 = 20121221088343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121221121121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140484895 + ... + 140628048.

It is an arithmetic number, because the mean of its divisors is an integer number (1020439986720).

Almost surely, 220121221121111 is an apocalyptic number.

20121221121111 is a deficient number, since it is larger than the sum of its proper divisors (12532858453929).

20121221121111 is a wasteful number, since it uses less digits than its factorization.

20121221121111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281113204 (or 281113198 counting only the distinct ones).

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

Adding to 20121221121111 its reverse (11112112212102), we get a palindrome (31233333333213).

The spelling of 20121221121111 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 9 11 27 33 99 241 297 723 2169 2651 6507 7953 23859 71577 281112943 843338829 2530016487 3092242373 7590049461 9276727119 27830181357 67748219263 83490544071 203244657789 609733973367 745230411893 1829201920101 2235691235679 6707073707037 20121221121111