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12000211020001 = 99012271753353
BaseRepresentation
bin1010111010100000010001…
…0100001010100011100001
31120111012122100011000211001
42232220010110022203201
53033102413010120001
641304453144552001
72345662262445121
oct256500424124341
946435570130731
1012000211020001
1139072963042a6
12141987a482601
136907cc334aa9
142d6b55a2cc81
1515c246705001
hexaea0450a8e1

12000211020001 has 8 divisors (see below), whose sum is σ = 12002176295144. Its totient is φ = 11998245916800.

The previous prime is 12000211019983. The next prime is 12000211020097. The reversal of 12000211020001 is 10002011200021.

It can be written as a sum of positive squares in 4 ways, for example, as 6579230130001 + 5420980890000 = 2565001^2 + 2328300^2 .

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 12000211020001 - 27 = 12000211019873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12000211020001.

It is not an unprimeable number, because it can be changed into a prime (12000211020401) 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 7 ways as a sum of consecutive naturals, for example, 224894341 + ... + 224947693.

It is an arithmetic number, because the mean of its divisors is an integer number (1500272036893).

Almost surely, 212000211020001 is an apocalyptic number.

It is an amenable number.

12000211020001 is a deficient number, since it is larger than the sum of its proper divisors (1965275143).

12000211020001 is an equidigital number, since it uses as much as digits as its factorization.

12000211020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85971.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12000211020001 its reverse (10002011200021), we get a palindrome (22002222220022).

The spelling of 12000211020001 in words is "twelve trillion, two hundred eleven million, twenty thousand, one".

Divisors: 1 9901 22717 53353 224921017 528248053 1212020101 12000211020001