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12222102101121 = 3211238776120449
BaseRepresentation
bin1011000111011010111000…
…0011011101110010000001
31121021102101022100212011200
42301312232003131302001
53100221331114213441
641554431200531413
72401006040511063
oct261665603356201
947242338325150
1012222102101121
113992401008780
121454885320b69
136a8701a5b9b3
143037a521b733
15162dd19407b6
hexb1dae0ddc81

12222102101121 has 48 divisors (see below), whose sum is σ = 20119339094400. Its totient is φ = 7077196431360.

The previous prime is 12222102101117. The next prime is 12222102101137. The reversal of 12222102101121 is 12110120122221.

12222102101121 is a `hidden beast` number, since 1 + 222 + 210 + 210 + 1 + 1 + 21 = 666.

12222102101121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12222102101121 - 22 = 12222102101117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12222102101094 and 12222102101103.

It is not an unprimeable number, because it can be changed into a prime (12222102103121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063296 + ... + 5057153.

It is an arithmetic number, because the mean of its divisors is an integer number (419152897800).

Almost surely, 212222102101121 is an apocalyptic number.

12222102101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222102101121 is a deficient number, since it is larger than the sum of its proper divisors (7897236993279).

12222102101121 is a wasteful number, since it uses less digits than its factorization.

12222102101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6121366 (or 6121363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12222102101121 its reverse (12110120122221), we get a palindrome (24332222223342).

The spelling of 12222102101121 in words is "twelve trillion, two hundred twenty-two billion, one hundred two million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 877 2277 2631 7893 9647 20171 28941 60513 86823 181539 221881 665643 1996929 6120449 18361347 55084041 67324939 140770327 201974817 422310981 605924451 1266932943 1548473597 4645420791 5367633773 13936262373 16102901319 48308703957 59043971503 123455576779 177131914509 370366730337 531395743527 1111100191011 1358011344569 4074034033707 12222102101121