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12122012022021 = 33111031627243553
BaseRepresentation
bin1011000001100110000000…
…1110000111010100000101
31120220212000212020000122000
42300121200032013110011
53042101340034201041
641440435255055513
72360533521050226
oct260314016072405
946825025200560
1012122012022021
113953a09847940
1214393b1371599
1369c1406a0315
142dc9cc22d24d
151604c4860bb6
hexb0660387505

12122012022021 has 64 divisors (see below), whose sum is σ = 19793575127040. Its totient is φ = 7270845534720.

The previous prime is 12122012021981. The next prime is 12122012022059. The reversal of 12122012022021 is 12022021022121.

It is a happy number.

12122012022021 is a `hidden beast` number, since 121 + 220 + 120 + 2 + 202 + 1 = 666.

It is not a de Polignac number, because 12122012022021 - 210 = 12122012020997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122012021985 and 12122012022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122012026021) 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 63 ways as a sum of consecutive naturals, for example, 49649781 + ... + 49893333.

It is an arithmetic number, because the mean of its divisors is an integer number (309274611360).

Almost surely, 212122012022021 is an apocalyptic number.

12122012022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122012022021 is a deficient number, since it is larger than the sum of its proper divisors (7671563105019).

12122012022021 is a wasteful number, since it uses less digits than its factorization.

12122012022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245303 (or 245297 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122012022021 its reverse (12022021022121), we get a palindrome (24144033044142).

The spelling of 12122012022021 in words is "twelve trillion, one hundred twenty-two billion, twelve million, twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 27 33 99 103 297 309 927 1133 1627 2781 3399 4881 10197 14643 17897 30591 43929 53691 161073 167581 243553 483219 502743 730659 1508229 1843391 2191977 2679083 4524687 5530173 6575931 8037249 16590519 24111747 25085959 49771557 72335241 75257877 225773631 275945549 396260731 677320893 827836647 1188782193 2483509941 3566346579 4358868041 7450529823 10699039737 13076604123 39229812369 40814855293 117689437107 122444565879 367333697637 448963408223 1102001092911 1346890224669 4040670674007 12122012022021