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12321311121 = 3272196832153
BaseRepresentation
bin10110111100110100…
…00100100110010001
31011210200201110100100
423132122010212101
5200213223423441
65354344243013
7614222262600
oct133632044621
934720643310
1012321311121
115253071459
12247a470469
1312148b4752
1484c57ba37
154c1a8dcb6
hex2de684991

12321311121 has 72 divisors (see below), whose sum is σ = 21834839520. Its totient is φ = 6657323904.

The previous prime is 12321311099. The next prime is 12321311131. The reversal of 12321311121 is 12111312321.

12321311121 is a `hidden beast` number, since 1 + 232 + 1 + 311 + 121 = 666.

It is not a de Polignac number, because 12321311121 - 27 = 12321310993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12321311094 and 12321311103.

It is not an unprimeable number, because it can be changed into a prime (12321311131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5721781 + ... + 5723933.

It is an arithmetic number, because the mean of its divisors is an integer number (303261660).

Almost surely, 212321311121 is an apocalyptic number.

It is an amenable number.

12321311121 is a deficient number, since it is larger than the sum of its proper divisors (9513528399).

12321311121 is a wasteful number, since it uses less digits than its factorization.

12321311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2865 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12321311121 its reverse (12111312321), we get a palindrome (24432623442).

The spelling of 12321311121 in words is "twelve billion, three hundred twenty-one million, three hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 683 931 1197 2049 2153 2793 4781 6147 6459 8379 12977 14343 15071 19377 33467 38931 40907 43029 45213 90839 100401 105497 116793 122721 135639 272517 286349 301203 316491 368163 635873 817551 859047 949473 1470499 1907619 2004443 2577141 4411497 5722857 6013329 10293493 13234491 18039987 27939481 30880479 72054451 83818443 92641437 195576367 216163353 251455329 586729101 648490059 1369034569 1760187303 4107103707 12321311121