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12312113121 = 3271123075261
BaseRepresentation
bin10110111011101101…
…11110111111100001
31011210001102011001200
423131312332333201
5200203400104441
65353415151413
7614051143350
oct133566767741
934701364050
1012312113121
115248959900
122477375569
131212a13c49
1484b265997
154c0d737b6
hex2dddbefe1

12312113121 has 72 divisors (see below), whose sum is σ = 22417467072. Its totient is φ = 6373857600.

The previous prime is 12312113119. The next prime is 12312113129. The reversal of 12312113121 is 12131121321.

It is not a de Polignac number, because 12312113121 - 21 = 12312113119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12312113094 and 12312113103.

It is not an unprimeable number, because it can be changed into a prime (12312113129) 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, 2337631 + ... + 2342891.

Almost surely, 212312113121 is an apocalyptic number.

12312113121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12312113121 is a deficient number, since it is larger than the sum of its proper divisors (10105353951).

12312113121 is a wasteful number, since it uses less digits than its factorization.

12312113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5589 counting only the distinct ones).

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

Adding to 12312113121 its reverse (12131121321), we get a palindrome (24443234442).

The spelling of 12312113121 in words is "twelve billion, three hundred twelve million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 307 363 693 847 921 1089 2149 2541 2763 3377 5261 6447 7623 10131 15783 19341 23639 30393 36827 37147 47349 57871 70917 110481 111441 173613 212751 260029 331443 334323 405097 520839 636581 780087 1215291 1615127 1909743 2340261 3645873 4456067 4845381 5729229 11305889 13368201 14536143 17766397 33917667 40104603 53299191 101753001 124364779 159897573 195430367 373094337 586291101 1119283011 1368012569 1758873303 4104037707 12312113121