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12066260440113 = 341117796610579
BaseRepresentation
bin1010111110010110010100…
…1010101101010000110001
31120201112010102210012220000
42233211211022231100301
53040143200133040423
641355055153140213
72353521116322135
oct257454512552061
946645112705800
1012066260440113
1139322aa4a7210
12142a63225a669
13696ac71721b9
142da01dab73c5
1515dd100a3843
hexaf9652ad431

12066260440113 has 40 divisors (see below), whose sum is σ = 20820214118880. Its totient is φ = 6882715393920.

The previous prime is 12066260440109. The next prime is 12066260440127. The reversal of 12066260440113 is 31104406266021.

12066260440113 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 6 + 2 + 604 + 40 + 1 + 1 + 3 = 666.

12066260440113 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 12066260440113 - 22 = 12066260440109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12066260440193) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 398290143 + ... + 398320436.

It is an arithmetic number, because the mean of its divisors is an integer number (520505352972).

Almost surely, 212066260440113 is an apocalyptic number.

It is an amenable number.

12066260440113 is a deficient number, since it is larger than the sum of its proper divisors (8753953678767).

12066260440113 is a wasteful number, since it uses less digits than its factorization.

12066260440113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796610619 (or 796610610 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12066260440113 in words is "twelve trillion, sixty-six billion, two hundred sixty million, four hundred forty thousand, one hundred thirteen".

Divisors: 1 3 9 11 17 27 33 51 81 99 153 187 297 459 561 891 1377 1683 5049 15147 796610579 2389831737 7169495211 8762716369 13542379843 21508485633 26288149107 40627139529 64525456899 78864447321 121881418587 148966178273 236593341963 365644255761 446898534819 709780025889 1096932767283 1340695604457 4022086813371 12066260440113