Search a number
-
+
12004367712 = 253532359349
BaseRepresentation
bin10110010111000010…
…00001110101100000
31010222121100001201120
423023201001311200
5144041104231322
65303103132240
7603323304411
oct131341016540
933877301646
1012004367712
115100175157
1223b02a4080
13119403387c
1481c437808
154a3d34a5c
hex2cb841d60

12004367712 has 48 divisors (see below), whose sum is σ = 32106034800. Its totient is φ = 3925955072.

The previous prime is 12004367699. The next prime is 12004367717. The reversal of 12004367712 is 21776340021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×120043677122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004367717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1174587 + ... + 1184762.

It is an arithmetic number, because the mean of its divisors is an integer number (668875725).

Almost surely, 212004367712 is an apocalyptic number.

12004367712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12004367712 is an abundant number, since it is smaller than the sum of its proper divisors (20101667088).

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

12004367712 is a wasteful number, since it uses less digits than its factorization.

12004367712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359415 (or 2359407 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 12004367712 in words is "twelve billion, four million, three hundred sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 2359349 4718698 7078047 9437396 14156094 18874792 28312188 37749584 56624376 75499168 113248752 125045497 226497504 250090994 375136491 500181988 750272982 1000363976 1500545964 2000727952 3001091928 4001455904 6002183856 12004367712