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12013120323200 = 275219731902737
BaseRepresentation
bin1010111011010000010111…
…0001001111111010000000
31120112102222000021120122202
42232310011301033322000
53033310332300320300
641314430140052332
72346630214635443
oct256640561177200
946472860246582
1012013120323200
113911810271917
1214202818340a8
13691aa899c639
142d761c30965a
1515c74ebddad5
hexaed05c4fe80

12013120323200 has 96 divisors (see below), whose sum is σ = 29691218038860. Its totient is φ = 4802810101760.

The previous prime is 12013120323137. The next prime is 12013120323251. The reversal of 12013120323200 is 232302131021.

It can be written as a sum of positive squares in 6 ways, for example, as 2616345070144 + 9396775253056 = 1617512^2 + 3065416^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5362232 + ... + 7264968.

Almost surely, 212013120323200 is an apocalyptic number.

12013120323200 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 12013120323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14845609019430).

12013120323200 is an abundant number, since it is smaller than the sum of its proper divisors (17678097715660).

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

12013120323200 is a wasteful number, since it uses less digits than its factorization.

12013120323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904734 (or 1904717 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12013120323200 its reverse (232302131021), we get a palindrome (12245422454221).

The spelling of 12013120323200 in words is "twelve trillion, thirteen billion, one hundred twenty million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 1973 3200 3946 7892 9865 15784 19730 31568 39460 49325 63136 78920 98650 126272 157840 197300 252544 315680 394600 631360 789200 1262720 1578400 1902737 3156800 3805474 6313600 7610948 9513685 15221896 19027370 30443792 38054740 47568425 60887584 76109480 95136850 121775168 152218960 190273700 243550336 304437920 380547400 608875840 761094800 1217751680 1522189600 3044379200 3754100101 6088758400 7508200202 15016400404 18770500505 30032800808 37541001010 60065601616 75082002020 93852502525 120131203232 150164004040 187705005050 240262406464 300328008080 375410010100 480524812928 600656016160 750820020200 1201312032320 1501640040400 2402624064640 3003280080800 6006560161600 12013120323200