Search a number
-
+
121000122222021 = 3372672267602143
BaseRepresentation
bin11011100000110010001001…
…010011011000010111000101
3120212102111110120011222112000
4123200302021103120113011
5111324431222242101041
61105202404435015513
734325653553620500
oct3340621123302705
9525374416158460
10121000122222021
1135610955589339
12116a277413a599
135269354b19923
1421c4619810137
15dec7569b0bb6
hex6e0c894d85c5

121000122222021 has 96 divisors (see below), whose sum is σ = 211732328263680. Its totient is φ = 68080785407712.

The previous prime is 121000122222017. The next prime is 121000122222041. The reversal of 121000122222021 is 120222221000121.

It is a happy number.

It is not a de Polignac number, because 121000122222021 - 22 = 121000122222017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121000122221985 and 121000122222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000122222041) 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, 200648076 + ... + 201250218.

It is an arithmetic number, because the mean of its divisors is an integer number (2205545086080).

Almost surely, 2121000122222021 is an apocalyptic number.

It is an amenable number.

121000122222021 is a deficient number, since it is larger than the sum of its proper divisors (90732206041659).

121000122222021 is a wasteful number, since it uses less digits than its factorization.

121000122222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604500 (or 604487 counting only the distinct ones).

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

Adding to 121000122222021 its reverse (120222221000121), we get a palindrome (241222343222142).

The spelling of 121000122222021 in words is "one hundred twenty-one trillion, one hundred twenty-two million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 3 7 9 21 27 49 63 67 147 189 201 441 469 603 1323 1407 1809 2267 3283 4221 6801 9849 12663 15869 20403 29547 47607 61209 88641 111083 142821 151889 333249 428463 455667 602143 999747 1063223 1367001 1806429 2999241 3189669 4101003 4215001 5419287 7442561 9569007 12645003 16257861 22327683 28707021 29505007 37935009 40343581 66983049 88515021 113805027 121030743 200949147 265545063 282405067 363092229 796635189 847215201 1089276687 1365058181 1976835469 2541645603 4095174543 5930506407 7624936809 9555407267 12285523629 17791519221 28666221801 36856570887 53374557663 66887850869 85998665403 91458898127 200663552607 257995996209 274376694381 601990657821 640212286889 823130083143 1805971973463 1920636860667 2469390249429 4481486008223 5761910582001 13444458024669 17285731746003 40333374074007 121000122222021