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11220222012000 = 25353935018501
BaseRepresentation
bin1010001101000110100101…
…0110001110101001100000
31110201122100120020000021020
42203101221112032221200
52432313003313341000
635510255425325440
72235430363330461
oct243215126165140
943648316200236
1011220222012000
1136365188a7021
121312679796880
136350a71112b1
142ab0c1210d68
15146ce5100ba0
hexa346958ea60

11220222012000 has 96 divisors (see below), whose sum is σ = 36757447350624. Its totient is φ = 2992059200000.

The previous prime is 11220222011987. The next prime is 11220222012011. The reversal of 11220222012000 is 21022202211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 467497251 + ... + 467521250.

It is an arithmetic number, because the mean of its divisors is an integer number (382890076569).

Almost surely, 211220222012000 is an apocalyptic number.

11220222012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220222012000 is an abundant number, since it is smaller than the sum of its proper divisors (25537225338624).

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

11220222012000 is an equidigital number, since it uses as much as digits as its factorization.

11220222012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935018529 (or 935018511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11220222012000 its reverse (21022202211), we get a palindrome (11241244214211).

The spelling of 11220222012000 in words is "eleven trillion, two hundred twenty billion, two hundred twenty-two million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 935018501 1870037002 2805055503 3740074004 4675092505 5610111006 7480148008 9350185010 11220222012 14025277515 14960296016 18700370020 22440444024 23375462525 28050555030 29920592032 37400740040 44880888048 46750925050 56101110060 70126387575 74801480080 89761776096 93501850100 112202220120 116877312625 140252775150 149602960160 187003700200 224404440240 233754625250 280505550300 350631937875 374007400400 448808880480 467509250500 561011100600 701263875750 748014800800 935018501000 1122022201200 1402527751500 1870037002000 2244044402400 2805055503000 3740074004000 5610111006000 11220222012000