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12012740083600 = 24521732972
BaseRepresentation
bin1010111011001110111100…
…0110101111111110010000
31120112101222111210101222121
42232303233012233332100
53033304042430133400
641314324314144024
72346614616644254
oct256635706577620
946471874711877
1012012740083600
113911635673213
121420196422014
13691a47c893a9
142d75c3a0a264
1515c72b63021a
hexaecef1aff90

12012740083600 has 45 divisors (see below), whose sum is σ = 28860774590227. Its totient is φ = 4805068305920.

The previous prime is 12012740083579. The next prime is 12012740083637. The reversal of 12012740083600 is 638004721021.

The square root of 12012740083600 is 3465940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5872731850384 + 6140008233216 = 2423372^2 + 2477904^2 .

It is a super-2 number, since 2×120127400836002 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69232152 + ... + 69405448.

Almost surely, 212012740083600 is an apocalyptic number.

12012740083600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12012740083600 is the 3465940-th square number.

It is an amenable number.

12012740083600 is an abundant number, since it is smaller than the sum of its proper divisors (16848034506627).

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

12012740083600 is an frugal number, since it uses more digits than its factorization.

12012740083600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346612 (or 173304 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 12012740083600 in words is "twelve trillion, twelve billion, seven hundred forty million, eighty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 173297 346594 693188 866485 1386376 1732970 2772752 3465940 4332425 6931880 8664850 13863760 17329700 34659400 69318800 30031850209 60063700418 120127400836 150159251045 240254801672 300318502090 480509603344 600637004180 750796255225 1201274008360 1501592510450 2402548016720 3003185020900 6006370041800 12012740083600