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1220303351200 = 255213950321817
BaseRepresentation
bin10001110000011111101…
…111110110110110100000
311022122211001001012211211
4101300133233312312200
5124443140124214300
62332333303515504
7154110153224533
oct21603757666640
94278731035754
101220303351200
1143058947938a
12178605158b94
138b0c6a9489b
14430c4c16a1a
1521b223c84ba
hex11c1fbf6da0

1220303351200 has 144 divisors (see below), whose sum is σ = 3006600690240. Its totient is φ = 483624069120.

The previous prime is 1220303351159. The next prime is 1220303351257. The reversal of 1220303351200 is 21533030221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55922692 + ... + 55944508.

It is an arithmetic number, because the mean of its divisors is an integer number (20879171460).

Almost surely, 21220303351200 is an apocalyptic number.

1220303351200 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 1220303351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503300345120).

1220303351200 is an abundant number, since it is smaller than the sum of its proper divisors (1786297339040).

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

1220303351200 is a wasteful number, since it uses less digits than its factorization.

1220303351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22479 (or 22466 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 1220303351200 its reverse (21533030221), we get a palindrome (1241836381421).

The spelling of 1220303351200 in words is "one trillion, two hundred twenty billion, three hundred three million, three hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 139 160 200 278 400 503 556 695 800 1006 1112 1390 2012 2224 2515 2780 3475 4024 4448 5030 5560 6950 8048 10060 11120 12575 13900 16096 20120 21817 22240 25150 27800 40240 43634 50300 55600 69917 80480 87268 100600 109085 111200 139834 174536 201200 218170 279668 349072 349585 402400 436340 545425 559336 698144 699170 872680 1090850 1118672 1398340 1745360 1747925 2181700 2237344 2796680 3032563 3490720 3495850 4363400 5593360 6065126 6991700 8726800 10973951 11186720 12130252 13983400 15162815 17453600 21947902 24260504 27966800 30325630 43895804 48521008 54869755 55933600 60651260 75814075 87791608 97042016 109739510 121302520 151628150 175583216 219479020 242605040 274348775 303256300 351166432 438958040 485210080 548697550 606512600 877916080 1097395100 1213025200 1525379189 1755832160 2194790200 2426050400 3050758378 4389580400 6101516756 7626895945 8779160800 12203033512 15253791890 24406067024 30507583780 38134479725 48812134048 61015167560 76268959450 122030335120 152537918900 244060670240 305075837800 610151675600 1220303351200