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12123133132121 = 112937283516469
BaseRepresentation
bin1011000001101010001100…
…0010110011110101011001
31120220221220222210022120022
42300122203002303311121
53042111134040211441
641441142424240225
72360603353244624
oct260324302636531
946827828708508
1012123133132121
113954434670510
121439664910075
1369c28ba3278b
142dca970a4dbb
1516053ceb684b
hexb06a30b3d59

12123133132121 has 16 divisors (see below), whose sum is σ = 13272221269440. Its totient is φ = 10981886329920.

The previous prime is 12123133132093. The next prime is 12123133132141.

12123133132121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12123133132121 - 26 = 12123133132057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12123133132141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23214875 + ... + 23731343.

It is an arithmetic number, because the mean of its divisors is an integer number (829513829340).

Almost surely, 212123133132121 is an apocalyptic number.

12123133132121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12123133132121 is a deficient number, since it is larger than the sum of its proper divisors (1149088137319).

12123133132121 is a wasteful number, since it uses less digits than its factorization.

12123133132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524056.

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 1212313 and 3132121, that added together give a palindrome (4344434).

The spelling of 12123133132121 in words is "twelve trillion, one hundred twenty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 293 3223 7283 80113 516469 2133919 5681159 23473109 151325417 1664579587 3761443727 41375880997 1102103012011 12123133132121