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12200222101221 = 3471147167249217
BaseRepresentation
bin1011000110001001010111…
…1001111000111011100101
31121012022220110021200220000
42301202111321320323211
53044342023324214341
641540412112331513
72366302606543650
oct261422571707345
947168813250800
1012200222101221
1139840a3353a30
121450599843b99
136a6625a339ab
143026cb396897
15162550b178b6
hexb1895e78ee5

12200222101221 has 160 divisors (see below), whose sum is σ = 23344604946432. Its totient is φ = 6165763338240.

The previous prime is 12200222101049. The next prime is 12200222101237. The reversal of 12200222101221 is 12210122200221.

It is a happy number.

12200222101221 is a `hidden beast` number, since 1 + 220 + 0 + 2 + 221 + 0 + 1 + 221 = 666.

It is not a de Polignac number, because 12200222101221 - 223 = 12200213712613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200222101194 and 12200222101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200222101271) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48829605 + ... + 49078821.

Almost surely, 212200222101221 is an apocalyptic number.

12200222101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200222101221 is a deficient number, since it is larger than the sum of its proper divisors (11144382845211).

12200222101221 is a wasteful number, since it uses less digits than its factorization.

12200222101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249461 (or 249452 counting only the distinct ones).

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

Adding to 12200222101221 its reverse (12210122200221), we get a palindrome (24410344301442).

The spelling of 12200222101221 in words is "twelve trillion, two hundred billion, two hundred twenty-two million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 47 63 77 81 99 141 167 189 231 297 329 423 501 517 567 693 891 987 1169 1269 1503 1551 1837 2079 2961 3507 3619 3807 4509 4653 5511 6237 7849 8883 10521 10857 12859 13527 13959 16533 23547 26649 31563 32571 38577 41877 49599 54943 70641 86339 94689 97713 115731 148797 164829 211923 249217 259017 293139 347193 494487 604373 635769 747651 777051 1041579 1483461 1744519 1813119 2242953 2331153 2741387 4450383 5233557 5439357 6728859 6993459 8224161 11713199 15700671 16318071 19189709 20186577 24672483 35139597 41619239 47102013 48954213 57569127 74017449 81992393 105418791 124857717 128845189 141306039 172707381 222052347 245977179 291334673 316256373 374573151 386535567 457811629 518122143 737931537 874004019 901916323 948769119 1123719453 1159606701 1373434887 1554366429 1956104233 2213794611 2622012057 2705748969 3204681403 3371158359 3478820103 4120304661 5868312699 6641383833 7866036171 8117246907 9614044209 10436460309 12360913983 13692729631 17604938097 21517146563 23598108513 24351740721 28842132627 37082741949 41078188893 52814814291 64551439689 73055222163 86526397881 123234566679 150620025941 158444442873 193654319067 259579193643 369703700037 451860077823 580962957201 1109111100111 1355580233469 1742888871603 4066740700407 12200222101221