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12040707168 = 2532712014973
BaseRepresentation
bin10110011011010111…
…01001110001100000
31011002010201022002100
423031223221301200
5144124410112133
65310442050400
7604244215350
oct131553516140
934063638070
1012040707168
115119735566
1224004a9a00
13119b7181c9
148231b6b60
154a7111e13
hex2cdae9c60

12040707168 has 144 divisors (see below), whose sum is σ = 39172756896. Its totient is φ = 3436646400.

The previous prime is 12040707167. The next prime is 12040707187. The reversal of 12040707168 is 86170704021.

12040707168 is a `hidden beast` number, since 120 + 407 + 0 + 71 + 68 = 666.

12040707168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040707167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2418730 + ... + 2423702.

It is an arithmetic number, because the mean of its divisors is an integer number (272033034).

Almost surely, 212040707168 is an apocalyptic number.

12040707168 is a gapful number since it is divisible by the number (18) 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 12040707168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19586378448).

12040707168 is an abundant number, since it is smaller than the sum of its proper divisors (27132049728).

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

12040707168 is a wasteful number, since it uses less digits than its factorization.

12040707168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 12040707168 in words is "twelve billion, forty million, seven hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1201 2016 2402 3603 4804 4973 7206 8407 9608 9946 10809 14412 14919 16814 19216 19892 21618 25221 28824 29838 33628 34811 38432 39784 43236 44757 50442 57648 59676 67256 69622 75663 79568 86472 89514 100884 104433 115296 119352 134512 139244 151326 159136 172944 179028 201768 208866 238704 269024 278488 302652 313299 345888 358056 403536 417732 477408 556976 605304 626598 716112 807072 835464 1113952 1210608 1253196 1432224 1670928 2421216 2506392 3341856 5012784 5972573 10025568 11945146 17917719 23890292 35835438 41808011 47780584 53753157 71670876 83616022 95561168 107506314 125424033 143341752 167232044 191122336 215012628 250848066 286683504 334464088 376272099 430025256 501696132 573367008 668928176 752544198 860050512 1003392264 1337856352 1505088396 1720101024 2006784528 3010176792 4013569056 6020353584 12040707168