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12001158085 = 575316673881
BaseRepresentation
bin10110010110101001…
…10010001111000101
31010222101021222221111
423023110302033011
5144034244024320
65302510245021
7603254106040
oct131324621705
933871258844
1012001158085
1150a9382774
1223ab1b6771
13119347b997
1481bc3dc57
154a38eda5a
hex2cb5323c5

12001158085 has 32 divisors (see below), whose sum is σ = 16783656192. Its totient is φ = 8067171840.

The previous prime is 12001158019. The next prime is 12001158089. The reversal of 12001158085 is 58085110021.

12001158085 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 12001158085 - 227 = 11866940357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001158089) 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 31 ways as a sum of consecutive naturals, for example, 3090345 + ... + 3094225.

It is an arithmetic number, because the mean of its divisors is an integer number (524489256).

Almost surely, 212001158085 is an apocalyptic number.

It is an amenable number.

12001158085 is a deficient number, since it is larger than the sum of its proper divisors (4782498107).

12001158085 is a wasteful number, since it uses less digits than its factorization.

12001158085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613.

The product of its (nonzero) digits is 3200, while the sum is 31.

The spelling of 12001158085 in words is "twelve billion, one million, one hundred fifty-eight thousand, eighty-five".

Divisors: 1 5 7 35 53 265 371 1667 1855 3881 8335 11669 19405 27167 58345 88351 135835 205693 441755 618457 1028465 1439851 3092285 6469627 7199255 32348135 45287389 226436945 342890231 1714451155 2400231617 12001158085