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12122122010211 = 322575419687367
BaseRepresentation
bin1011000001100110011011…
…0001101011111001100011
31120220212022112012000001200
42300121212301223321203
53042102101213311321
641440454224332243
72360536324662423
oct260314661537143
946825275160050
1012122122010211
113953a65940674
121439422174083
1369c15a4001a5
142dc9dcaa0483
151604ce339d26
hexb0666c6be63

12122122010211 has 24 divisors (see below), whose sum is σ = 17610356291424. Its totient is φ = 8035088855040.

The previous prime is 12122122010203. The next prime is 12122122010233. The reversal of 12122122010211 is 11201022122121.

12122122010211 is a `hidden beast` number, since 1 + 2 + 1 + 221 + 220 + 10 + 211 = 666.

It is not a de Polignac number, because 12122122010211 - 23 = 12122122010203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122122010281) 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 23 ways as a sum of consecutive naturals, for example, 3592351 + ... + 6095016.

It is an arithmetic number, because the mean of its divisors is an integer number (733764845476).

Almost surely, 212122122010211 is an apocalyptic number.

12122122010211 is a deficient number, since it is larger than the sum of its proper divisors (5488234281213).

12122122010211 is a wasteful number, since it uses less digits than its factorization.

12122122010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9688171 (or 9688168 counting only the distinct ones).

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

Adding to 12122122010211 its reverse (11201022122121), we get a palindrome (23323144132332).

The spelling of 12122122010211 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, ten thousand, two hundred eleven".

Divisors: 1 3 9 257 541 771 1623 2313 4869 139037 417111 1251333 9687367 29062101 87186303 2489653319 5240865547 7468959957 15722596641 22406879871 47167789923 1346902445579 4040707336737 12122122010211