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12001112001201 = 3731011373960367
BaseRepresentation
bin1010111010100011101000…
…0001001000101010110001
31120111021222010111121200010
42232220322001020222301
53033111234133014301
641305122412045133
72346023512611351
oct256507201105261
946437863447603
1012001112001201
113907708946864
121419a901637a9
13690913bb2c6b
142d6bdd562b61
1515c29a8775d6
hexaea3a048ab1

12001112001201 has 32 divisors (see below), whose sum is σ = 16500857430528. Its totient is φ = 7755980774400.

The previous prime is 12001112001181. The next prime is 12001112001253. The reversal of 12001112001201 is 10210021110021.

It is not a de Polignac number, because 12001112001201 - 214 = 12001111984817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12001112001301) 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 in 31 ways as a sum of consecutive naturals, for example, 1050120 + ... + 5010486.

It is an arithmetic number, because the mean of its divisors is an integer number (515651794704).

Almost surely, 212001112001201 is an apocalyptic number.

It is an amenable number.

12001112001201 is a deficient number, since it is larger than the sum of its proper divisors (4499745429327).

12001112001201 is a wasteful number, since it uses less digits than its factorization.

12001112001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960681.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001112001201 its reverse (10210021110021), we get a palindrome (22211133111222).

The spelling of 12001112001201 in words is "twelve trillion, one billion, one hundred twelve million, one thousand, two hundred one".

Divisors: 1 3 73 101 137 219 303 411 7373 10001 13837 22119 30003 41511 1010101 3030303 3960367 11881101 289106791 399997067 542570279 867320373 1199991201 1627710837 29199785891 39607630367 54799598179 87599357673 118822891101 164398794537 4000370667067 12001112001201