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12102011233127 is a prime number
BaseRepresentation
bin1011000000011011100000…
…0101001010001101100111
31120211221101222012200012222
42300012320011022031213
53041234404333430002
641423330500502555
72356225056126314
oct260067005121547
946757358180188
1012102011233127
11394648592a142
12143554b0aaa5b
1369a2a3aaa5aa
142dba51bbdd0b
1515ec039db1a2
hexb01b814a367

12102011233127 has 2 divisors, whose sum is σ = 12102011233128. Its totient is φ = 12102011233126.

The previous prime is 12102011233093. The next prime is 12102011233259. The reversal of 12102011233127 is 72133211020121.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12102011233127 is a prime.

It is a super-3 number, since 3×121020112331273 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12102011233096 and 12102011233105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12102011233727) 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 as a sum of consecutive naturals, namely, 6051005616563 + 6051005616564.

It is an arithmetic number, because the mean of its divisors is an integer number (6051005616564).

Almost surely, 212102011233127 is an apocalyptic number.

12102011233127 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102011233127 is an equidigital number, since it uses as much as digits as its factorization.

12102011233127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 12102011233127 its reverse (72133211020121), we get a palindrome (84235222253248).

The spelling of 12102011233127 in words is "twelve trillion, one hundred two billion, eleven million, two hundred thirty-three thousand, one hundred twenty-seven".