Search a number
-
+
12121012022211 = 341947881190207
BaseRepresentation
bin1011000001100010010010…
…0111011010101111000011
31120220202110011112202210000
42300120210213122233003
53042042313034202321
641440152133411043
72360466656150001
oct260304447325703
946822404482700
1012121012022211
113953546324214
121439172499a83
1369c011463261
142dc9354c1a71
15160466b7e826
hexb06249dabc3

12121012022211 has 80 divisors (see below), whose sum is σ = 19487403048960. Its totient is φ = 7483951791360.

The previous prime is 12121012022177. The next prime is 12121012022237. The reversal of 12121012022211 is 11222021012121.

12121012022211 is a `hidden beast` number, since 121 + 210 + 120 + 2 + 2 + 211 = 666.

It is not a de Polignac number, because 12121012022211 - 210 = 12121012021187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12121012022291) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63630270 + ... + 63820476.

It is an arithmetic number, because the mean of its divisors is an integer number (243592538112).

Almost surely, 212121012022211 is an apocalyptic number.

12121012022211 is a deficient number, since it is larger than the sum of its proper divisors (7366391026749).

12121012022211 is a wasteful number, since it uses less digits than its factorization.

12121012022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191166 (or 191157 counting only the distinct ones).

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

Adding to 12121012022211 its reverse (11222021012121), we get a palindrome (23343033034332).

The spelling of 12121012022211 in words is "twelve trillion, one hundred twenty-one billion, twelve million, twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 19 27 47 57 81 141 171 423 513 881 893 1269 1539 2643 2679 3807 7929 8037 16739 23787 24111 41407 50217 71361 72333 124221 150651 190207 372663 451953 570621 786733 1117989 1355859 1711863 2360199 3353967 3613933 5135589 7080597 8939729 10841799 15406767 21241791 26819187 32525397 63725373 80457561 97576191 167572367 169854851 241372683 292728573 502717101 509564553 724118049 1508151303 1528693659 3183874973 4524453909 4586080977 7875901249 9551624919 13573361727 13758242931 23627703747 28654874757 70883111241 85964624271 149642123731 212649333723 257893872813 448926371193 637948001169 1346779113579 4040337340737 12121012022211