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12010010000 = 24541201001
BaseRepresentation
bin10110010111101101…
…00011010110010000
31010222222221201111012
423023312203112100
5144044030310000
65303424110052
7603422254262
oct131366432620
933888851435
1012010010000
1151033792aa
1223b2165328
13119525aac1
1481d0a5b32
154a459b735
hex2cbda3590

12010010000 has 50 divisors (see below), whose sum is σ = 29077459422. Its totient is φ = 4804000000.

The previous prime is 12010009967. The next prime is 12010010081. The reversal of 12010010000 is 1001021.

It is a happy number.

12010010000 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 5 ways, for example, as 8893244416 + 3116765584 = 94304^2 + 55828^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 590501 + ... + 610500.

Almost surely, 212010010000 is an apocalyptic number.

12010010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010010000 is an abundant number, since it is smaller than the sum of its proper divisors (17067449422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12010010000 is an equidigital number, since it uses as much as digits as its factorization.

12010010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201029 (or 1201008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 12010010000 its reverse (1001021), we get a palindrome (12011011021).

The spelling of 12010010000 in words is "twelve billion, ten million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1201001 2402002 4804004 6005005 9608008 12010010 19216016 24020020 30025025 48040040 60050050 96080080 120100100 150125125 240200200 300250250 480400400 600500500 750625625 1201001000 1501251250 2402002000 3002502500 6005005000 12010010000