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12155719200 = 253525064883
BaseRepresentation
bin10110101001000100…
…11000111000100000
31011101011010111221020
423110202120320200
5144343331003300
65330111125440
7610141623402
oct132442307040
934334114836
1012155719200
11517864a829
122432b13880
1311b94b6971
14834594b72
154b227e8a0
hex2d4898e20

12155719200 has 72 divisors (see below), whose sum is σ = 39566873808. Its totient is φ = 3241524480.

The previous prime is 12155719189. The next prime is 12155719207. The reversal of 12155719200 is 291755121.

It is not an unprimeable number, because it can be changed into a prime (12155719207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2530042 + ... + 2534841.

It is an arithmetic number, because the mean of its divisors is an integer number (549539914).

Almost surely, 212155719200 is an apocalyptic number.

12155719200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12155719200 is an abundant number, since it is smaller than the sum of its proper divisors (27411154608).

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

12155719200 is a wasteful number, since it uses less digits than its factorization.

12155719200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064906 (or 5064893 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 33.

The spelling of 12155719200 in words is "twelve billion, one hundred fifty-five million, seven hundred nineteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5064883 10129766 15194649 20259532 25324415 30389298 40519064 50648830 60778596 75973245 81038128 101297660 121557192 126622075 151946490 162076256 202595320 243114384 253244150 303892980 379866225 405190640 486228768 506488300 607785960 759732450 810381280 1012976600 1215571920 1519464900 2025953200 2431143840 3038929800 4051906400 6077859600 12155719200