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121200213321 = 321117474013821
BaseRepresentation
bin111000011100000011…
…0000111110101001001
3102120211122120202122200
41300320012013311021
53441204223311241
6131402325110413
711520311546415
oct1607006076511
9376748522580
10121200213321
11474453a7160
121b5a5858409
13b576a54975
145c1a8cdd45
1532455344b6
hex1c38187d49

121200213321 has 96 divisors (see below), whose sum is σ = 207088068096. Its totient is φ = 67476480000.

The previous prime is 121200213313. The next prime is 121200213341. The reversal of 121200213321 is 123312002121.

121200213321 is a `hidden beast` number, since 12 + 120 + 0 + 213 + 321 = 666.

It is not a de Polignac number, because 121200213321 - 23 = 121200213313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121200213294 and 121200213303.

It is not an unprimeable number, because it can be changed into a prime (121200213311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31717591 + ... + 31721411.

It is an arithmetic number, because the mean of its divisors is an integer number (2157167376).

Almost surely, 2121200213321 is an apocalyptic number.

121200213321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121200213321 is a deficient number, since it is larger than the sum of its proper divisors (85887854775).

121200213321 is a wasteful number, since it uses less digits than its factorization.

121200213321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121200213321 its reverse (123312002121), we get a palindrome (244512215442).

The spelling of 121200213321 in words is "one hundred twenty-one billion, two hundred million, two hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 11 17 33 47 51 99 141 153 187 401 423 517 561 799 1203 1551 1683 2397 3609 3821 4411 4653 6817 7191 8789 11463 13233 18847 20451 26367 34389 39699 42031 56541 61353 64957 74987 79101 126093 169623 179587 194871 207317 224961 320399 378279 538761 584613 621951 674883 714527 961197 1532221 1616283 1865853 1975457 2143581 2883591 3052979 3524389 4596663 5926371 6430743 9158937 10573167 13789989 16854431 17779113 26047757 27476811 31719501 33582769 50563293 72014387 78143271 100748307 151689879 216043161 234429813 286525327 302244921 648129483 792158257 859575981 1224244579 2376474771 2578727943 3672733737 7129424313 11018201211 13466690369 40400071107 121200213321