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12012200001 = 326739532081
BaseRepresentation
bin10110010111111101…
…11010000001000001
31011000011001222121100
423023332322001001
5144100110400001
65303543045013
7603450005154
oct131376720101
934004058540
1012012200001
11510463471a
1223b2a40769
131195846869
1481d4b5c9b
154a4880586
hex2cbfba041

12012200001 has 24 divisors (see below), whose sum is σ = 17403329736. Its totient is φ = 7984005120.

The previous prime is 12012199933. The next prime is 12012200029. The reversal of 12012200001 is 10000221021.

12012200001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 480661776 + 11531538225 = 21924^2 + 107385^2 .

It is not a de Polignac number, because 12012200001 - 221 = 12010102849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12012201001) 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 23 ways as a sum of consecutive naturals, for example, 5771281 + ... + 5773361.

It is an arithmetic number, because the mean of its divisors is an integer number (725138739).

Almost surely, 212012200001 is an apocalyptic number.

It is an amenable number.

12012200001 is a deficient number, since it is larger than the sum of its proper divisors (5391129735).

12012200001 is a wasteful number, since it uses less digits than its factorization.

12012200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12012200001 its reverse (10000221021), we get a palindrome (22012421022).

The spelling of 12012200001 in words is "twelve billion, twelve million, two hundred thousand, one".

Divisors: 1 3 9 673 953 2019 2081 2859 6057 6243 8577 18729 641369 1400513 1924107 1983193 4201539 5772321 5949579 12604617 17848737 1334688889 4004066667 12012200001