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12021201100000 = 2555163737497
BaseRepresentation
bin1010111011101110011101…
…1010111101110011100000
31120120012211011200120111101
42232323213122331303200
53033423404440200000
641322244043124144
72350334366255461
oct256734732756340
946505734616441
1012021201100000
1139151876a1054
121421957b13654
13692795b85581
142d7b875dcd68
1515ca74342e6a
hexaeee76bdce0

12021201100000 has 144 divisors (see below), whose sum is σ = 29763053386416. Its totient is φ = 4778974080000.

The previous prime is 12021201099977. The next prime is 12021201100081. The reversal of 12021201100000 is 110212021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 12021201100000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15931252 + ... + 16668748.

It is an arithmetic number, because the mean of its divisors is an integer number (206687870739).

Almost surely, 212021201100000 is an apocalyptic number.

12021201100000 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 12021201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881526693208).

12021201100000 is an abundant number, since it is smaller than the sum of its proper divisors (17741852286416).

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

12021201100000 is an frugal number, since it uses more digits than its factorization.

12021201100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737695 (or 737667 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12021201100000 its reverse (110212021), we get a palindrome (12021311312021).

The spelling of 12021201100000 in words is "twelve trillion, twenty-one billion, two hundred one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 163 200 250 326 400 500 625 652 800 815 1000 1250 1304 1630 2000 2500 2608 3125 3260 4000 4075 5000 5216 6250 6520 8150 10000 12500 13040 16300 20000 20375 25000 26080 32600 40750 50000 65200 81500 100000 101875 130400 163000 203750 326000 407500 509375 652000 737497 815000 1018750 1474994 1630000 2037500 2949988 3260000 3687485 4075000 5899976 7374970 8150000 11799952 14749940 16300000 18437425 23599904 29499880 36874850 58999760 73749700 92187125 117999520 120212011 147499400 184374250 240424022 294998800 368748500 460935625 480848044 589997600 601060055 737497000 921871250 961696088 1202120110 1474994000 1843742500 1923392176 2304678125 2404240220 2949988000 3005300275 3687485000 3846784352 4609356250 4808480440 6010600550 7374970000 9218712500 9616960880 12021201100 14749940000 15026501375 18437425000 19233921760 24042402200 30053002750 36874850000 48084804400 60106005500 73749700000 75132506875 96169608800 120212011000 150265013750 240424022000 300530027500 375662534375 480848044000 601060055000 751325068750 1202120110000 1502650137500 2404240220000 3005300275000 6010600550000 12021201100000