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12211110000211 = 612477619913037
BaseRepresentation
bin1011000110110001111011…
…0111111011011001010011
31121020101000020210021110011
42301230132313323121103
53100031323130001321
641545412334015351
72400136455264463
oct261543667733123
947211006707404
1012211110000211
113988780285661
121452718047557
136a766c66b885
14303041405ba3
1516298b911ae1
hexb1b1edfb653

12211110000211 has 16 divisors (see below), whose sum is σ = 12419258241600. Its totient is φ = 12003221335680.

The previous prime is 12211110000203. The next prime is 12211110000227. The reversal of 12211110000211 is 11200001111221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12211110000211 - 23 = 12211110000203 is a prime.

It is a super-2 number, since 2×122111100002112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12211110000191 and 12211110000200.

It is not an unprimeable number, because it can be changed into a prime (12211110000511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936643785 + ... + 936656821.

It is an arithmetic number, because the mean of its divisors is an integer number (776203640100).

Almost surely, 212211110000211 is an apocalyptic number.

12211110000211 is a deficient number, since it is larger than the sum of its proper divisors (208148241389).

12211110000211 is a wasteful number, since it uses less digits than its factorization.

12211110000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21774.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12211110000211 its reverse (11200001111221), we get a palindrome (23411111111432).

The spelling of 12211110000211 in words is "twelve trillion, two hundred eleven billion, one hundred ten million, two hundred eleven", and thus it is an aban number.

Divisors: 1 61 2477 6199 13037 151097 378139 795257 15354923 32292649 80816363 936650303 1969851589 4929798143 200182131151 12211110000211