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12011000221 = 119411160371
BaseRepresentation
bin10110010111110100…
…10101000110011101
31011000001211000211001
423023322111012131
5144044304001341
65303501230301
7603433550233
oct131372250635
934001730731
1012011000221
115103995270
1223b2562391
13119551672c
1481d282953
154a46e4d31
hex2cbe9519d

12011000221 has 8 divisors (see below), whose sum is σ = 13116845088. Its totient is φ = 10907478000.

The previous prime is 12011000201. The next prime is 12011000237. The reversal of 12011000221 is 12200011021.

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 12011000221 - 217 = 12010869149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011000198 and 12011000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011000201) 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 7 ways as a sum of consecutive naturals, for example, 569835 + ... + 590536.

It is an arithmetic number, because the mean of its divisors is an integer number (1639605636).

Almost surely, 212011000221 is an apocalyptic number.

12011000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12011000221 is a deficient number, since it is larger than the sum of its proper divisors (1105844867).

12011000221 is a wasteful number, since it uses less digits than its factorization.

12011000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161323.

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

Adding to 12011000221 its reverse (12200011021), we get a palindrome (24211011242).

The spelling of 12011000221 in words is "twelve billion, eleven million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 941 10351 1160371 12764081 1091909111 12011000221