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12220221221131 = 731121033498191
BaseRepresentation
bin1011000111010011110111…
…1100011110100100001011
31121021020112020011020212211
42301310331330132210023
53100204003113034011
641553520411045551
72400611321344000
oct261647574364413
947236466136784
1012220221221131
113991626331800
12145443b4408b7
136a8492190b61
143036674cd8a7
15162d2175cb21
hexb1d3df1e90b

12220221221131 has 96 divisors (see below), whose sum is σ = 15863644160000. Its totient is φ = 9401633841600.

The previous prime is 12220221221101. The next prime is 12220221221167. The reversal of 12220221221131 is 13112212202221.

It is not a de Polignac number, because 12220221221131 - 213 = 12220221212939 is a prime.

It is a super-2 number, since 2×122202212211312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12220221221101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1491904246 + ... + 1491912436.

Almost surely, 212220221221131 is an apocalyptic number.

12220221221131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12220221221131 is a deficient number, since it is larger than the sum of its proper divisors (3643422938869).

12220221221131 is a wasteful number, since it uses less digits than its factorization.

12220221221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8686 (or 8661 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12220221221131 its reverse (13112212202221), we get a palindrome (25332433423352).

The spelling of 12220221221131 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 7 11 49 77 103 121 343 349 539 721 847 1133 2443 3773 3839 5047 5929 7931 8191 12463 17101 26873 35329 35947 41503 42229 55517 57337 87241 90101 119707 188111 251629 295603 388619 395417 401359 610687 630707 843673 991111 1316777 1761403 2069221 2767919 2809513 2858659 4274809 4349587 4414949 5905711 6937777 9280403 12329821 14484547 19375433 20010613 30447109 30904643 31445249 41339977 48564439 64962821 102084433 135628031 140074291 213129763 220116743 289379839 294441877 339951073 345897739 454739747 714591031 980520037 1491908341 1540817201 2061093139 2421284173 3183178229 3238860647 5002137217 10785720407 14427651973 16948989211 22672024529 35014960519 35627467117 100993563811 118642924477 158704171703 249392269819 1110929201921 1745745888733 12220221221131