Search a number
-
+
12212102101221 = 3311431256976079
BaseRepresentation
bin1011000110110101101000…
…0000011111100011100101
31121020110120101121020012000
42301231122000133203211
53100040341114214341
641550055014115513
72400203163066321
oct261553200374345
947213511536160
1012212102101221
11398913a2a3850
12145295434bb99
136a779a0715a9
143030d7098981
151629e8a828b6
hexb1b5a01f8e5

12212102101221 has 64 divisors (see below), whose sum is σ = 20197596672000. Its totient is φ = 7228481178240.

The previous prime is 12212102101163. The next prime is 12212102101237. The reversal of 12212102101221 is 12210120121221.

12212102101221 is a `hidden beast` number, since 1 + 2 + 21 + 210 + 210 + 1 + 221 = 666.

12212102101221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12212102101221 - 214 = 12212102084837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12212102101194 and 12212102101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212102101421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160480660 + ... + 160556738.

It is an arithmetic number, because the mean of its divisors is an integer number (315587448000).

Almost surely, 212212102101221 is an apocalyptic number.

12212102101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212102101221 is a deficient number, since it is larger than the sum of its proper divisors (7985494570779).

12212102101221 is a wasteful number, since it uses less digits than its factorization.

12212102101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88711 (or 88705 counting only the distinct ones).

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

Adding to 12212102101221 its reverse (12210120121221), we get a palindrome (24422222222442).

The spelling of 12212102101221 in words is "twelve trillion, two hundred twelve billion, one hundred two million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 43 99 129 297 387 473 1161 1419 4257 12569 12771 37707 76079 113121 138259 228237 339363 414777 540467 684711 836869 1244331 1621401 2054133 2510607 3271397 3732993 4864203 5945137 7531821 9814191 14592609 17835411 22595463 29442573 35985367 53506233 88327719 107956101 160518699 323868303 956236951 971604909 2868710853 8606132559 10518606461 25818397677 31555819383 41118188893 94667458149 123354566679 284002374447 370063700037 452300077823 1110191100111 1356900233469 4070700700407 12212102101221