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12001101011211 = 3132227104276699
BaseRepresentation
bin1010111010100011100101…
…0111001101100100001011
31120111021221100211021020110
42232220321113031210023
53033111223324324321
641305121340325403
72346023320316514
oct256507127154413
946437840737213
1012001101011211
11390770271a924
121419a88543863
13690911835900
142d6bdbd01a0b
1515c299906176
hexaea395cd90b

12001101011211 has 24 divisors (see below), whose sum is σ = 17403364123200. Its totient is φ = 7352758529376.

The previous prime is 12001101011183. The next prime is 12001101011407. The reversal of 12001101011211 is 11211010110021.

It is not a de Polignac number, because 12001101011211 - 225 = 12001067456779 is a prime.

It is a super-4 number, since 4×120011010112114 (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12001101061211) 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 in 23 ways as a sum of consecutive naturals, for example, 52023261 + ... + 52253438.

It is an arithmetic number, because the mean of its divisors is an integer number (725140171800).

Almost surely, 212001101011211 is an apocalyptic number.

12001101011211 is a deficient number, since it is larger than the sum of its proper divisors (5402263111989).

12001101011211 is a wasteful number, since it uses less digits than its factorization.

12001101011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104276955 (or 104276942 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12001101011211 its reverse (11211010110021), we get a palindrome (23212111121232).

The spelling of 12001101011211 in words is "twelve trillion, one billion, one hundred one million, eleven thousand, two hundred eleven".

Divisors: 1 3 13 39 169 227 507 681 2951 8853 38363 115089 104276699 312830097 1355597087 4066791261 17622762131 23670810673 52868286393 71012432019 307720538749 923161616247 4000367003737 12001101011211