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12000010100211 = 327376149383717
BaseRepresentation
bin1010111010011111100001…
…0101101101110111110011
31120111012010100002020200100
42232213320111231313303
53033102010041201321
641304421210323443
72345654302610130
oct256477025556763
946435110066610
1012000010100211
1139071a2953291
121419823129583
13690799817c43
142d6b3708b587
1515c233c68326
hexae9f856ddf3

12000010100211 has 48 divisors (see below), whose sum is σ = 20345507342784. Its totient is φ = 6671632096512.

The previous prime is 12000010100171. The next prime is 12000010100249. The reversal of 12000010100211 is 11200101000021.

It is a happy number.

It is not a de Polignac number, because 12000010100211 - 213 = 12000010092019 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 12000010100193 and 12000010100202.

It is not an unprimeable number, because it can be changed into a prime (12000010100711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143298325 + ... + 143382041.

It is an arithmetic number, because the mean of its divisors is an integer number (423864736308).

Almost surely, 212000010100211 is an apocalyptic number.

12000010100211 is a deficient number, since it is larger than the sum of its proper divisors (8345497242573).

12000010100211 is a wasteful number, since it uses less digits than its factorization.

12000010100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145260 (or 145257 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000010100211 its reverse (11200101000021), we get a palindrome (23200111100232).

The spelling of 12000010100211 in words is "twelve trillion, ten million, one hundred thousand, two hundred eleven".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 61493 83717 184479 251151 430451 553437 586019 753453 1291353 1758057 2275241 3097529 3874059 5274171 6825723 9292587 15926687 20477169 21682703 27877761 47780061 65048109 143340183 195144327 5148009481 15444028443 36036066367 46332085329 108108199101 190476350797 324324597303 571429052391 1333334455579 1714287157173 4000003366737 12000010100211