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12660006132 = 2234283138071
BaseRepresentation
bin10111100101001100…
…00101110011110100
31012200022000221120000
423302212011303310
5201411430144012
65452123511300
7625504163604
oct136246056364
935608027500
1012660006132
115407274a94
122553988530
131269b100b7
14881544c04
154e1692ddc
hex2f2985cf4

12660006132 has 60 divisors (see below), whose sum is σ = 33212943456. Its totient is φ = 4205059920.

The previous prime is 12660006103. The next prime is 12660006137. The reversal of 12660006132 is 23160006621.

12660006132 is a `hidden beast` number, since 1 + 26 + 600 + 0 + 6 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12660006096 and 12660006105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12660006137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22657 + ... + 160727.

Almost surely, 212660006132 is an apocalyptic number.

12660006132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12660006132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606471728).

12660006132 is an abundant number, since it is smaller than the sum of its proper divisors (20552937324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12660006132 is a wasteful number, since it uses less digits than its factorization.

12660006132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138370 (or 138359 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 12660006132 in words is "twelve billion, six hundred sixty million, six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 283 324 566 849 1132 1698 2547 3396 5094 7641 10188 15282 22923 30564 45846 91692 138071 276142 414213 552284 828426 1242639 1656852 2485278 3727917 4970556 7455834 11183751 14911668 22367502 39074093 44735004 78148186 117222279 156296372 234444558 351666837 468889116 703333674 1055000511 1406667348 2110001022 3165001533 4220002044 6330003066 12660006132