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12000211101101 = 173184922163797
BaseRepresentation
bin1010111010100000010001…
…0100011110010110101101
31120111012122100022011001202
42232220010110132112231
53033102413020213401
641304453150415245
72345662263233426
oct256500424362655
946435570264052
1012000211101101
11390729635a223
12141987a501525
136907cc362992
142d6b55a5064d
1515c24671e06b
hexaea0451e5ad

12000211101101 has 8 divisors (see below), whose sum is σ = 12706505393400. Its totient is φ = 11293961200128.

The previous prime is 12000211101091. The next prime is 12000211101139. The reversal of 12000211101101 is 10110111200021.

It can be written as a sum of positive squares in 4 ways, for example, as 962068684201 + 11038142416900 = 980851^2 + 3322370^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12000211101101 - 226 = 12000143992237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000211101161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10540466 + ... + 11623331.

It is an arithmetic number, because the mean of its divisors is an integer number (1588313174175).

Almost surely, 212000211101101 is an apocalyptic number.

It is an amenable number.

12000211101101 is a deficient number, since it is larger than the sum of its proper divisors (706294292299).

12000211101101 is a wasteful number, since it uses less digits than its factorization.

12000211101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22195663.

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

Adding to 12000211101101 its reverse (10110111200021), we get a palindrome (22110322301122).

The spelling of 12000211101101 in words is "twelve trillion, two hundred eleven million, one hundred one thousand, one hundred one".

Divisors: 1 17 31849 541433 22163797 376784549 705894770653 12000211101101