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12002012413101 = 339716727441137
BaseRepresentation
bin1010111010100110111110…
…1011111011110010101101
31120111101021212210021121000
42232221233223323302231
53033120110134204401
641305352015030513
72346055025154054
oct256515753736255
946441255707530
1012002012413101
11390803012a627
12141a0a180b439
13690a285c1c79
142d6c86d8939b
1515c2ee936186
hexaea6fafbcad

12002012413101 has 32 divisors (see below), whose sum is σ = 18071635841280. Its totient is φ = 7871434979328.

The previous prime is 12002012413091. The next prime is 12002012413129. The reversal of 12002012413101 is 10131421020021.

12002012413101 is a `hidden beast` number, since 120 + 0 + 20 + 12 + 413 + 101 = 666.

It is not a de Polignac number, because 12002012413101 - 26 = 12002012413037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002012413201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13283196 + ... + 14157941.

It is an arithmetic number, because the mean of its divisors is an integer number (564738620040).

Almost surely, 212002012413101 is an apocalyptic number.

It is an amenable number.

12002012413101 is a deficient number, since it is larger than the sum of its proper divisors (6069623428179).

12002012413101 is a wasteful number, since it uses less digits than its factorization.

12002012413101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27441410 (or 27441404 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12002012413101 its reverse (10131421020021), we get a palindrome (22133433433122).

The spelling of 12002012413101 in words is "twelve trillion, two billion, twelve million, four hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 27 97 167 291 501 873 1503 2619 4509 16199 48597 145791 437373 27441137 82323411 246970233 740910699 2661790289 4582669879 7985370867 13748009637 23956112601 41244028911 71868337803 123732086733 444518978263 1333556934789 4000670804367 12002012413101