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12000120201121 = 132972712701207
BaseRepresentation
bin1010111010011111111011…
…1001101101111110100001
31120111012102000020221201211
42232213332321231332201
53033102221232413441
641304440142230121
72345660110502053
oct256477671557641
946435360227654
1012000120201121
11390724a013778
121419853b85341
136907b6587200
142d6b4794b8d3
1515c23d765a81
hexae9fee6dfa1

12000120201121 has 24 divisors (see below), whose sum is σ = 13176622281984. Its totient is φ = 10922380485120.

The previous prime is 12000120201101. The next prime is 12000120201127. The reversal of 12000120201121 is 12110202100021.

It is not a de Polignac number, because 12000120201121 - 25 = 12000120201089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000120201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3091900 + ... + 5793106.

It is an arithmetic number, because the mean of its divisors is an integer number (549025928416).

Almost surely, 212000120201121 is an apocalyptic number.

It is an amenable number.

12000120201121 is a deficient number, since it is larger than the sum of its proper divisors (1176502080863).

12000120201121 is a wasteful number, since it uses less digits than its factorization.

12000120201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701601 (or 2701588 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12000120201121 its reverse (12110202100021), we get a palindrome (24110322301142).

The spelling of 12000120201121 in words is "twelve trillion, one hundred twenty million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 13 97 169 271 1261 3523 16393 26287 45799 341731 2701207 4442503 35115691 262017079 456503983 732027097 3406222027 9516352261 44280886351 71006628409 123712579393 923086169317 12000120201121