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12120131200 = 27525417001
BaseRepresentation
bin10110100100110101…
…01000011010000000
31011021200011110101011
423102122220122000
5144310223144300
65322400250304
7606230262322
oct132232503200
934250143334
1012120131200
11515a552a61
122423010994
1311b2006388
1482d96d612
154ae09eeba
hex2d26a8680

12120131200 has 96 divisors (see below), whose sum is σ = 30000139020. Its totient is φ = 4838400000.

The previous prime is 12120131143. The next prime is 12120131263. The reversal of 12120131200 is 213102121.

It can be written as a sum of positive squares in 6 ways, for example, as 3342689856 + 8777441344 = 57816^2 + 93688^2 .

It is an unprimeable number.

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, 1727700 + ... + 1734700.

Almost surely, 212120131200 is an apocalyptic number.

12120131200 is a gapful number since it is divisible by the number (10) 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 12120131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000069510).

12120131200 is an abundant number, since it is smaller than the sum of its proper divisors (17880007820).

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

12120131200 is an equidigital number, since it uses as much as digits as its factorization.

12120131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7566 (or 7549 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12120131200 its reverse (213102121), we get a palindrome (12333233321).

The spelling of 12120131200 in words is "twelve billion, one hundred twenty million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 541 640 800 1082 1600 2164 2705 3200 4328 5410 7001 8656 10820 13525 14002 17312 21640 27050 28004 34624 35005 43280 54100 56008 69248 70010 86560 108200 112016 140020 173120 175025 216400 224032 280040 346240 350050 432800 448064 560080 700100 865600 896128 1120160 1400200 1731200 2240320 2800400 3787541 4480640 5600800 7575082 11201600 15150164 18937705 22403200 30300328 37875410 60600656 75750820 94688525 121201312 151501640 189377050 242402624 303003280 378754100 484805248 606006560 757508200 1212013120 1515016400 2424026240 3030032800 6060065600 12120131200