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12001211011001 = 236783113830359
BaseRepresentation
bin1010111010100011111111…
…1010110100111110111001
31120111022020000210211120202
42232220333322310332321
53033111440004323001
641305140310131545
72346026124310562
oct256507772647671
946438200724522
1012001211011001
113907759821343
121419ab9350bb5
1369092b56ab44
142d6c0c777169
1515c2a43d396b
hexaea3feb4fb9

12001211011001 has 32 divisors (see below), whose sum is σ = 12976892651520. Its totient is φ = 11072963430144.

The previous prime is 12001211010961. The next prime is 12001211011039. The reversal of 12001211011001 is 10011011210021.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12001211011001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12001211001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14037860 + ... + 14868218.

It is an arithmetic number, because the mean of its divisors is an integer number (405527895360).

Almost surely, 212001211011001 is an apocalyptic number.

It is an amenable number.

12001211011001 is a deficient number, since it is larger than the sum of its proper divisors (975681640519).

12001211011001 is a wasteful number, since it uses less digits than its factorization.

12001211011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830645.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12001211011001 its reverse (10011011210021), we get a palindrome (22012222221022).

It can be divided in two parts, 1200121 and 1011001, that added together give a palindrome (2211122).

The spelling of 12001211011001 in words is "twelve trillion, one billion, two hundred eleven million, eleven thousand, one".

Divisors: 1 23 67 83 113 1541 1909 2599 5561 7571 9379 127903 174133 215717 628393 830359 14453039 19098257 55634053 68919797 93830567 1279583219 1585155331 2158103041 4617626399 6286647989 7787937061 106205407177 144592903747 179122552403 521791783087 12001211011001