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12120013221200 = 24521071135324943
BaseRepresentation
bin1011000001011110100100…
…0101010010110101010000
31120220122212120010102100222
42300113221011102311100
53042033241341034300
641435505053532212
72360433140401463
oct260275105226520
946818776112328
1012120013221200
11395308354a235
121438b33aa4068
1369bbb2555a41
142dc87c9a72da
15160409138785
hexb05e9152d50

12120013221200 has 120 divisors (see below), whose sum is σ = 29394232898688. Its totient is φ = 4802081264640.

The previous prime is 12120013221187. The next prime is 12120013221259. The reversal of 12120013221200 is 212231002121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485895929 + ... + 485920871.

Almost surely, 212120013221200 is an apocalyptic number.

12120013221200 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 12120013221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14697116449344).

12120013221200 is an abundant number, since it is smaller than the sum of its proper divisors (17274219677488).

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

12120013221200 is a wasteful number, since it uses less digits than its factorization.

12120013221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36421 (or 36410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12120013221200 its reverse (212231002121), we get a palindrome (12332244223321).

The spelling of 12120013221200 in words is "twelve trillion, one hundred twenty billion, thirteen million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 400 428 535 856 1070 1712 2140 2675 4280 5350 8560 10700 11353 21400 22706 24943 42800 45412 49886 56765 90824 99772 113530 124715 181648 199544 227060 249430 283825 399088 454120 498860 567650 623575 908240 997720 1135300 1214771 1247150 1995440 2270600 2429542 2494300 2668901 4541200 4859084 4988600 5337802 6073855 9718168 9977200 10675604 12147710 13344505 19436336 21351208 24295420 26689010 30369275 42702416 48590840 53378020 60738550 66722525 97181680 106756040 121477100 133445050 213512080 242954200 266890100 283177879 485908400 533780200 566355758 1067560400 1132711516 1415889395 2265423032 2831778790 4530846064 5663557580 7079446975 11327115160 14158893950 22654230320 28317787900 30300033053 56635575800 60600066106 113271151600 121200132212 151500165265 242400264424 303000330530 484800528848 606000661060 757500826325 1212001322120 1515001652650 2424002644240 3030003305300 6060006610600 12120013221200