Search a number
-
+
121121999999 = 721113231574787
BaseRepresentation
bin111000011001101101…
…1110000110001111111
3102120122012102010010222
41300303123300301333
53441024212444444
6131350452451555
711515342004300
oct1606333606177
9376565363128
10121121999999
1147405236350
121b583619bbb
13b56379b8b0
145c103707a7
15323d734eee
hex1c336f0c7f

121121999999 has 96 divisors (see below), whose sum is σ = 173862775296. Its totient is φ = 82784782080.

The previous prime is 121121999951. The next prime is 121122000007. The reversal of 121121999999 is 999999121121.

It is a de Polignac number, because none of the positive numbers 2k-121121999999 is a prime.

121121999999 is a modest number, since divided by 999999 gives 121121 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121999699) 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, 25299884 + ... + 25304670.

It is an arithmetic number, because the mean of its divisors is an integer number (1811070576).

Almost surely, 2121121999999 is an apocalyptic number.

121121999999 is a deficient number, since it is larger than the sum of its proper divisors (52740775297).

121121999999 is a wasteful number, since it uses less digits than its factorization.

121121999999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4998 counting only the distinct ones).

The product of its digits is 2125764, while the sum is 62.

The spelling of 121121999999 in words is "one hundred twenty-one billion, one hundred twenty-one million, nine hundred ninety-nine thousand, nine hundred ninety-nine".

Divisors: 1 7 11 13 23 49 77 91 143 157 161 253 299 539 637 1001 1099 1127 1727 1771 2041 2093 3289 3611 4787 7007 7693 12089 12397 14287 14651 22451 23023 25277 33509 39721 46943 52657 62231 84623 100009 110101 157157 161161 176939 234563 278047 328601 368599 435617 516373 684541 751559 770707 1100099 1211111 1431313 1946329 2300207 2580193 3049319 3614611 4791787 5260913 5394949 8267149 8477777 9770267 10019191 15744443 17285857 25302277 33542509 36826391 57870043 59344439 68391869 70134337 107472937 110211101 121000999 190144427 224716141 405090301 478743083 752310559 771477707 847006993 1331010989 1573012987 2471877551 5266173913 9317076923 11011090909 17303142857 121121999999