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12000212010001 = 43894876438749
BaseRepresentation
bin1010111010100000010001…
…0111111100010000010001
31120111012122102000022211201
42232220010113330100101
53033102413233310001
641304453222111201
72345662304040325
oct256500427742021
946435572008751
1012000212010001
113907296920086
12141987a87b501
136907cc5c05a7
142d6b55c09985
1515c24684d501
hexaea045fc411

12000212010001 has 16 divisors (see below), whose sum is σ = 12442755600000. Its totient is φ = 11565639727488.

The previous prime is 12000212009969. The next prime is 12000212010097. The reversal of 12000212010001 is 10001021200021.

It is a cyclic number.

It is not a de Polignac number, because 12000212010001 - 25 = 12000212009969 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 12000212010001.

It is not an unprimeable number, because it can be changed into a prime (12000212010301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1355626 + ... + 5083123.

It is an arithmetic number, because the mean of its divisors is an integer number (777672225000).

Almost surely, 212000212010001 is an apocalyptic number.

It is an amenable number.

12000212010001 is a deficient number, since it is larger than the sum of its proper divisors (442543589999).

12000212010001 is an equidigital number, since it uses as much as digits as its factorization.

12000212010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6439368.

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

Adding to 12000212010001 its reverse (10001021200021), we get a palindrome (22001233210022).

The spelling of 12000212010001 in words is "twelve trillion, two hundred twelve million, ten thousand, one".

Divisors: 1 43 89 487 3827 20941 43343 1863749 6438749 276866207 573048661 3135670763 24641092423 134833842809 279074697907 12000212010001