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1200110221000 = 235341271108011
BaseRepresentation
bin10001011101101100001…
…001001011011011001000
311020201200202002220202201
4101131230021023123020
5124130311204033000
62315153435005544
7152463564365035
oct21355411133310
94221622086681
101200110221000
11422a66a29829
1217470a5998b4
1389229399832
144212b01a38c
152133e70d96a
hex1176c24b6c8

1200110221000 has 128 divisors (see below), whose sum is σ = 2887394065920. Its totient is φ = 466603200000.

The previous prime is 1200110220973. The next prime is 1200110221007. The reversal of 1200110221000 is 1220110021.

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

It is not an unprimeable number, because it can be changed into a prime (1200110221007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11056995 + ... + 11165005.

It is an arithmetic number, because the mean of its divisors is an integer number (22557766140).

Almost surely, 21200110221000 is an apocalyptic number.

1200110221000 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 1200110221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443697032960).

1200110221000 is an abundant number, since it is smaller than the sum of its proper divisors (1687283844920).

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

1200110221000 is a wasteful number, since it uses less digits than its factorization.

1200110221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108344 (or 108330 counting only the distinct ones).

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

Adding to 1200110221000 its reverse (1220110021), we get a palindrome (1201330331021).

The spelling of 1200110221000 in words is "one trillion, two hundred billion, one hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 271 328 410 500 542 820 1000 1025 1084 1355 1640 2050 2168 2710 4100 5125 5420 6775 8200 10250 10840 11111 13550 20500 22222 27100 33875 41000 44444 54200 55555 67750 88888 108011 111110 135500 216022 222220 271000 277775 432044 444440 540055 555550 864088 1080110 1111100 1388875 2160220 2222200 2700275 2777750 4320440 4428451 5400550 5555500 8856902 10801100 11111000 13501375 17713804 21602200 22142255 27002750 29270981 35427608 44284510 54005500 58541962 88569020 108011000 110711275 117083924 146354905 177138040 221422550 234167848 292709810 442845100 553556375 585419620 731774525 885690200 1107112750 1170839240 1200110221 1463549050 2214225500 2400220442 2927098100 3658872625 4428451000 4800440884 5854196200 6000551105 7317745250 9600881768 12001102210 14635490500 24002204420 29270981000 30002755525 48004408840 60005511050 120011022100 150013777625 240022044200 300027555250 600055110500 1200110221000