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12233201121 = 3331113129341
BaseRepresentation
bin10110110010010011…
…11101010111100001
31011120112221000011000
423121021331113201
5200023144413441
65341515542213
7612102331251
oct133111752741
934515830130
1012233201121
115208361079
122454a5a969
1311cc574b5b
148409a3961
154b8e872b6
hex2d927d5e1

12233201121 has 32 divisors (see below), whose sum is σ = 18873584640. Its totient is φ = 7822483200.

The previous prime is 12233201111. The next prime is 12233201161. The reversal of 12233201121 is 12110233221.

12233201121 is a `hidden beast` number, since 1 + 223 + 320 + 1 + 121 = 666.

It is not a de Polignac number, because 12233201121 - 25 = 12233201089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12233201094 and 12233201103.

It is not an unprimeable number, because it can be changed into a prime (12233201111) 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 31 ways as a sum of consecutive naturals, for example, 29911 + ... + 159251.

It is an arithmetic number, because the mean of its divisors is an integer number (589799520).

Almost surely, 212233201121 is an apocalyptic number.

It is an amenable number.

12233201121 is a deficient number, since it is larger than the sum of its proper divisors (6640383519).

12233201121 is a wasteful number, since it uses less digits than its factorization.

12233201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129494 (or 129488 counting only the distinct ones).

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

Adding to 12233201121 its reverse (12110233221), we get a palindrome (24343434342).

The spelling of 12233201121 in words is "twelve billion, two hundred thirty-three million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 27 31 93 113 279 339 837 1017 3051 3503 10509 31527 94581 129341 388023 1164069 3492207 4009571 12028713 14615533 36086139 43846599 108258417 131539797 394619391 453081523 1359244569 4077733707 12233201121