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12001311213213 = 372292927961813
BaseRepresentation
bin1010111010100100010111…
…1001000100011010011101
31120111022111000100122011210
42232221011321010122131
53033112141132310323
641305154245535033
72346031452104400
oct256510571043235
946438430318153
1012001311213213
113907800340793
121419b26a14479
136909462526aa
142d6c1bbbbd37
1515c2ad0c8293
hexaea45e4469d

12001311213213 has 48 divisors (see below), whose sum is σ = 19262749121280. Its totient is φ = 6619144017024.

The previous prime is 12001311213161. The next prime is 12001311213217. The reversal of 12001311213213 is 31231211310021.

12001311213213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12001311213213 - 212 = 12001311209117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12001311213213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001311213217) 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, 11996895 + ... + 12958707.

It is an arithmetic number, because the mean of its divisors is an integer number (401307273360).

Almost surely, 212001311213213 is an apocalyptic number.

It is an amenable number.

12001311213213 is a deficient number, since it is larger than the sum of its proper divisors (7261437908067).

12001311213213 is a wasteful number, since it uses less digits than its factorization.

12001311213213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964786 (or 964779 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12001311213213 its reverse (31231211310021), we get a palindrome (43232522523234).

The spelling of 12001311213213 in words is "twelve trillion, one billion, three hundred eleven million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 7 21 29 49 87 147 203 609 1421 2927 4263 8781 20489 61467 84883 143423 254649 430269 594181 961813 1782543 2885439 4159267 6732691 12477801 20198073 27892577 47128837 83677731 141386511 195248039 585744117 1366736273 2815226651 4100208819 8445679953 19706586557 59119759671 81641572879 137946105899 244924718637 413838317697 571491010153 1714473030459 4000437071071 12001311213213