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12011022211261 is a prime number
BaseRepresentation
bin1010111011001000100010…
…1101100101100010111101
31120112020112210022110011011
42232302020231211202331
53033242033141230021
641313442030155221
72346524220164143
oct256621055454275
946466483273134
1012011022211261
113910933a03307
12141b997052b11
136918330c2c98
142d749d7d1593
1515c67a8eade1
hexaec88b658bd

12011022211261 has 2 divisors, whose sum is σ = 12011022211262. Its totient is φ = 12011022211260.

The previous prime is 12011022211163. The next prime is 12011022211297. The reversal of 12011022211261 is 16211222011021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11997952005636 + 13070205625 = 3463806^2 + 114325^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12011022211261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12011022215261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005511105630 + 6005511105631.

It is an arithmetic number, because the mean of its divisors is an integer number (6005511105631).

Almost surely, 212011022211261 is an apocalyptic number.

It is an amenable number.

12011022211261 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011022211261 is an equidigital number, since it uses as much as digits as its factorization.

12011022211261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 12011022211261 its reverse (16211222011021), we get a palindrome (28222244222282).

The spelling of 12011022211261 in words is "twelve trillion, eleven billion, twenty-two million, two hundred eleven thousand, two hundred sixty-one".