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12332003101121 = 1121271575111459
BaseRepresentation
bin1011001101110100010010…
…1010100000100111000001
31121122221001111111010002002
42303131010222200213001
53104021420243213441
642121124412433345
72411646350552564
oct263350452404701
947587044433062
1012332003101121
113a24a7828a700
121472036a78855
136b5b978a5302
14308c2d1d04db
15165bb4eceb9b
hexb3744aa09c1

12332003101121 has 24 divisors (see below), whose sum is σ = 13748764216320. Its totient is φ = 11051790029280.

The previous prime is 12332003101111. The next prime is 12332003101189. The reversal of 12332003101121 is 12110130023321.

It is a happy number.

It is not a de Polignac number, because 12332003101121 - 234 = 12314823231937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12332003101093 and 12332003101102.

It is not an unprimeable number, because it can be changed into a prime (12332003101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143111 + ... + 4968348.

It is an arithmetic number, because the mean of its divisors is an integer number (572865175680).

Almost surely, 212332003101121 is an apocalyptic number.

12332003101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12332003101121 is a deficient number, since it is larger than the sum of its proper divisors (1416761115199).

12332003101121 is a wasteful number, since it uses less digits than its factorization.

12332003101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111765 (or 5111754 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12332003101121 its reverse (12110130023321), we get a palindrome (24442133124442).

The spelling of 12332003101121 in words is "twelve trillion, three hundred thirty-two billion, three million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 11 121 127 157 1397 1727 15367 18997 19939 219329 2412619 5111459 56226049 618486539 649155293 802499063 7140708223 8827489693 78547790453 97102386623 101917381001 1121091191011 12332003101121