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12000011001111 = 337631475121179
BaseRepresentation
bin1010111010011111100001…
…1001001001110100010111
31120111012010101210000111000
42232213320121021310113
53033102010304013421
641304421241514343
72345654313351510
oct256477031116427
946435111700430
1012000011001111
1139071a3409131
1214198234a29b3
13690799a72013
142d6b37243a07
1515c233d95226
hexae9f8649d17

12000011001111 has 64 divisors (see below), whose sum is σ = 20354922086400. Its totient is φ = 6844517820000.

The previous prime is 12000011001079. The next prime is 12000011001131. The reversal of 12000011001111 is 11110011000021.

It is not a de Polignac number, because 12000011001111 - 25 = 12000011001079 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 = 12000011001093 and 12000011001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000011001131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566588920 + ... + 566610098.

It is an arithmetic number, because the mean of its divisors is an integer number (318045657600).

Almost surely, 212000011001111 is an apocalyptic number.

12000011001111 is a deficient number, since it is larger than the sum of its proper divisors (8354911085289).

12000011001111 is a wasteful number, since it uses less digits than its factorization.

12000011001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26577 (or 26571 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12000011001111 its reverse (11110011000021), we get a palindrome (23110022001132).

The spelling of 12000011001111 in words is "twelve trillion, eleven million, one thousand, one hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 631 1893 4417 4751 5679 13251 14253 17037 21179 33257 39753 42759 63537 99771 119259 128277 148253 190611 299313 444759 571833 897939 1334277 2997881 4002831 8993643 13363949 20985167 26980929 40091847 62955501 80942787 93547643 100621429 120275541 188866503 280642929 301864287 360826623 566599509 704350003 841928787 905592861 2113050009 2525786361 2716778583 6339150027 19017450081 63492121699 190476365097 444444851893 571429095291 1333334555679 1714287285873 4000003667037 12000011001111