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12200001121 = 711158441573
BaseRepresentation
bin10110101110010110…
…10011111001100001
31011111020110021022101
423113023103321201
5144441200013441
65334332210401
7611220204250
oct132713237141
934436407271
1012200001121
1151a0645460
122445909a01
1311c571c499
1483a400797
154b60ca231
hex2d72d3e61

12200001121 has 8 divisors (see below), whose sum is σ = 15210391104. Its totient is φ = 9506494320.

The previous prime is 12200001089. The next prime is 12200001167. The reversal of 12200001121 is 12110000221.

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 12200001121 - 25 = 12200001089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12200001098 and 12200001107.

It is not an unprimeable number, because it can be changed into a prime (12200001421) 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, 79220710 + ... + 79220863.

It is an arithmetic number, because the mean of its divisors is an integer number (1901298888).

Almost surely, 212200001121 is an apocalyptic number.

12200001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200001121 is a deficient number, since it is larger than the sum of its proper divisors (3010389983).

12200001121 is a wasteful number, since it uses less digits than its factorization.

12200001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158441591.

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

Adding to 12200001121 its reverse (12110000221), we get a palindrome (24310001342).

The spelling of 12200001121 in words is "twelve billion, two hundred million, one thousand, one hundred twenty-one".

Divisors: 1 7 11 77 158441573 1109091011 1742857303 12200001121