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12001332333211 = 13172191072315679
BaseRepresentation
bin1010111010100100011100…
…1001101000101010011011
31120111022112111002122100221
42232221013021220222123
53033112212034130321
641305200322340511
72346032126446624
oct256510711505233
946438474078327
1012001332333211
113907811256531
121419b31aba737
1369094a738830
142d6c20918a4b
1515c2aed9ae41
hexaea47268a9b

12001332333211 has 48 divisors (see below), whose sum is σ = 14454373427200. Its totient is φ = 9876182764032.

The previous prime is 12001332333167. The next prime is 12001332333239. The reversal of 12001332333211 is 11233323310021.

12001332333211 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 12001332333211 - 27 = 12001332333083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001332333251) 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, 765432070 + ... + 765447748.

Almost surely, 212001332333211 is an apocalyptic number.

12001332333211 is a deficient number, since it is larger than the sum of its proper divisors (2453041093989).

12001332333211 is a wasteful number, since it uses less digits than its factorization.

12001332333211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26468 (or 26451 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 12001332333211 its reverse (11233323310021), we get a palindrome (23234655643232).

The spelling of 12001332333211 in words is "twelve trillion, one billion, three hundred thirty-two million, three hundred thirty-three thousand, two hundred eleven".

Divisors: 1 13 17 19 221 247 289 323 3757 4199 5491 10723 15679 71383 139399 182291 203737 203827 266543 297901 2369783 2648581 3098947 3463529 3465059 3872713 4531231 5064317 40286311 45025877 58879993 58906003 65836121 86093389 168125917 765439909 1119214057 2185636921 2858140589 3194392423 37155827657 41527101499 48588390013 54304671191 631649070169 705960725483 923179410247 12001332333211