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12232160661141 = 3217972710444153
BaseRepresentation
bin1011001000000000010110…
…0101110100111010010101
31121022101100022022122112200
42302000011211310322111
53100402431112124031
642003213234435113
72401513226042001
oct262000545647225
947271308278480
1012232160661141
1139966a288a7a3
121456811a32a99
136a9645910865
1430407b065701
151632bea198e6
hexb2005974e95

12232160661141 has 24 divisors (see below), whose sum is σ = 17791825222080. Its totient is φ = 8098061247936.

The previous prime is 12232160661131. The next prime is 12232160661143. The reversal of 12232160661141 is 14116606123221.

12232160661141 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 2 + 1 + 606 + 6 + 1 + 1 + 41 = 666.

It is not a de Polignac number, because 12232160661141 - 214 = 12232160644757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12232160661096 and 12232160661105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232160661143) 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, 4050880 + ... + 6393273.

It is an arithmetic number, because the mean of its divisors is an integer number (741326050920).

Almost surely, 212232160661141 is an apocalyptic number.

It is an amenable number.

12232160661141 is a deficient number, since it is larger than the sum of its proper divisors (5559664560939).

12232160661141 is a wasteful number, since it uses less digits than its factorization.

12232160661141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10445065 (or 10445062 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 12232160661141 its reverse (14116606123221), we get a palindrome (26348766784362).

The spelling of 12232160661141 in words is "twelve trillion, two hundred thirty-two billion, one hundred sixty million, six hundred sixty-one thousand, one hundred forty-one".

Divisors: 1 3 9 179 537 727 1611 2181 6543 130133 390399 1171197 10444153 31332459 93997377 1869503387 5608510161 7592899231 16825530483 22778697693 68336093079 1359128962349 4077386887047 12232160661141