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12132100323121 is a prime number
BaseRepresentation
bin1011000010001011100110…
…0001111011011100110001
31120221211001221010211002111
42300202321201323130301
53042233020140314441
641445224314245321
72361341520150622
oct260427141733461
946854057124074
1012132100323121
113958216392869
12143b347a26841
136a008a76635c
142dd2a7db9a49
151608b5362081
hexb08b987b731

12132100323121 has 2 divisors, whose sum is σ = 12132100323122. Its totient is φ = 12132100323120.

The previous prime is 12132100323019. The next prime is 12132100323149. The reversal of 12132100323121 is 12132300123121.

12132100323121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12073505343025 + 58594980096 = 3474695^2 + 242064^2 .

It is a cyclic number.

It is not a de Polignac number, because 12132100323121 - 241 = 9933077067569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12132100323092 and 12132100323101.

It is not a weakly prime, because it can be changed into another prime (12132100320121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066050161560 + 6066050161561.

It is an arithmetic number, because the mean of its divisors is an integer number (6066050161561).

Almost surely, 212132100323121 is an apocalyptic number.

It is an amenable number.

12132100323121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12132100323121 is an equidigital number, since it uses as much as digits as its factorization.

12132100323121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12132100323121 its reverse (12132300123121), we get a palindrome (24264400446242).

The spelling of 12132100323121 in words is "twelve trillion, one hundred thirty-two billion, one hundred million, three hundred twenty-three thousand, one hundred twenty-one".