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12000211003011 = 37111712972356069
BaseRepresentation
bin1010111010100000010001…
…0100000110011010000011
31120111012122100010011111210
42232220010110012122003
53033102413004044021
641304453144341203
72345662262344440
oct256500424063203
946435570104453
1012000211003011
1139072962a2560
12141987a474803
136907cc32a13a
142d6b55a269c7
1515c2466eee76
hexaea04506683

12000211003011 has 64 divisors (see below), whose sum is σ = 21138132280320. Its totient is φ = 5862651125760.

The previous prime is 12000211003009. The next prime is 12000211003021. The reversal of 12000211003011 is 11030011200021.

It is not a de Polignac number, because 12000211003011 - 21 = 12000211003009 is a prime.

It is a super-2 number, since 2×120002110030112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12000211003021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3915285 + ... + 6271353.

It is an arithmetic number, because the mean of its divisors is an integer number (330283316880).

Almost surely, 212000211003011 is an apocalyptic number.

12000211003011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12000211003011 is a deficient number, since it is larger than the sum of its proper divisors (9137921277309).

12000211003011 is a wasteful number, since it uses less digits than its factorization.

12000211003011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357404.

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

Adding to 12000211003011 its reverse (11030011200021), we get a palindrome (23030222203032).

The spelling of 12000211003011 in words is "twelve trillion, two hundred eleven million, three thousand, eleven".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 357 561 1297 1309 3891 3927 9079 14267 22049 27237 42801 66147 99869 154343 242539 299607 463029 727617 1697773 2356069 5093319 7068207 16492483 25916759 40053173 49477449 77750277 120159519 181417313 280372211 440584903 544251939 841116633 1321754709 3055821493 3084094321 9167464479 9252282963 21390750451 33614036423 51948965381 64172251353 100842109269 155846896143 235298254961 363642757667 571438619191 705894764883 1090928273001 1714315857573 4000070334337 12000211003011