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12006060012 = 2232418134187
BaseRepresentation
bin10110010111001110…
…11110111111101100
31010222201112001010100
423023213132333230
5144042022410022
65303203311100
7603343553262
oct131347367754
933881461110
1012006060012
115101120651
1223b097b490
1311944a6c2b
1481c758432
154a406b1ac
hex2cb9defec

12006060012 has 36 divisors (see below), whose sum is σ = 31088866536. Its totient is φ = 3904409280.

The previous prime is 12006059977. The next prime is 12006060041. The reversal of 12006060012 is 21006060021.

It is a happy number.

12006060012 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 60 + 600 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4065618 + ... + 4068569.

It is an arithmetic number, because the mean of its divisors is an integer number (863579626).

Almost surely, 212006060012 is an apocalyptic number.

12006060012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12006060012 is an abundant number, since it is smaller than the sum of its proper divisors (19082806524).

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

12006060012 is a wasteful number, since it uses less digits than its factorization.

12006060012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134238 (or 8134233 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Subtracting 12006060012 from its reverse (21006060021), we obtain a palindrome (9000000009).

The spelling of 12006060012 in words is "twelve billion, six million, sixty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 8134187 16268374 24402561 32536748 48805122 73207683 97610244 146415366 292830732 333501667 667003334 1000505001 1334006668 2001010002 3001515003 4002020004 6003030006 12006060012