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12011022222201 = 321723101320910531
BaseRepresentation
bin1010111011001000100010…
…1101101000001101111001
31120112020112210100000011100
42232302020231220031321
53033242033142102301
641313442030322013
72346524220241062
oct256621055501571
946466483300140
1012011022222201
113910933a10552
12141b997059309
136918330c7c62
142d749d7d5569
1515c67a8ee286
hexaec88b68379

12011022222201 has 96 divisors (see below), whose sum is σ = 19366143863040. Its totient is φ = 7134386688000.

The previous prime is 12011022222187. The next prime is 12011022222217. The reversal of 12011022222201 is 10222222011021.

It is a happy number.

12011022222201 is a `hidden beast` number, since 120 + 1 + 102 + 222 + 220 + 1 = 666.

12011022222201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12011022222201 - 214 = 12011022205817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12011022722201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1140534306 + ... + 1140544836.

It is an arithmetic number, because the mean of its divisors is an integer number (201730665240).

Almost surely, 212011022222201 is an apocalyptic number.

It is an amenable number.

12011022222201 is a deficient number, since it is larger than the sum of its proper divisors (7355121640839).

12011022222201 is a wasteful number, since it uses less digits than its factorization.

12011022222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13887 (or 13884 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12011022222201 its reverse (10222222011021), we get a palindrome (22233244233222).

The spelling of 12011022222201 in words is "twelve trillion, eleven billion, twenty-two million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 17 23 51 69 101 153 207 303 391 909 1173 1717 2323 3209 3519 5151 6969 9627 10531 15453 20907 28881 31593 39491 54553 73807 94779 118473 163659 179027 221421 242213 324109 355419 490977 537081 664263 726639 972327 1063631 1254719 1611243 2179917 2916981 3190893 3764157 4117621 5509853 7454507 9572679 11292471 12352863 16529559 18081727 22363521 24463513 33793979 37058589 49588677 54245181 67090563 73390539 101381937 126726619 162735543 220171617 304145811 380179857 415879721 574497643 777261517 1140539571 1247639163 1723492929 2331784551 3413191879 3742917489 5170478787 6995353653 10239575637 13213445789 30718726911 39640337367 58024261943 78503413217 118921012101 174072785829 235510239651 522218357487 706530718953 1334558024689 4003674074067 12011022222201