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11222020112000 = 27531913672127
BaseRepresentation
bin1010001101001101010010…
…0001011011111010000000
31110201210222212122221202112
42203103110201123322000
52432330144122041000
635511154101034452
72235523056042515
oct243232441337200
943653885587675
1011222020112000
113637260883185
121312a9b9b5a28
136353027b75a9
142ab211d5130c
15146d9cdd1235
hexa34d485be80

11222020112000 has 128 divisors (see below), whose sum is σ = 28046832353280. Its totient is φ = 4465305216000.

The previous prime is 11222020111997. The next prime is 11222020112003. The reversal of 11222020112000 is 21102022211.

It is an interprime number because it is at equal distance from previous prime (11222020111997) and next prime (11222020112003).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11222020112003) 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 15 ways as a sum of consecutive naturals, for example, 1219937 + ... + 4892063.

It is an arithmetic number, because the mean of its divisors is an integer number (219115877760).

Almost surely, 211222020112000 is an apocalyptic number.

11222020112000 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 11222020112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14023416176640).

11222020112000 is an abundant number, since it is smaller than the sum of its proper divisors (16824812241280).

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

11222020112000 is an equidigital number, since it uses as much as digits as its factorization.

11222020112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672347 (or 3672325 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11222020112000 its reverse (21102022211), we get a palindrome (11243122134211).

The spelling of 11222020112000 in words is "eleven trillion, two hundred twenty-two billion, twenty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 191 200 250 320 382 400 500 640 764 800 955 1000 1528 1600 1910 2000 3056 3200 3820 4000 4775 6112 7640 8000 9550 12224 15280 16000 19100 23875 24448 30560 38200 47750 61120 76400 95500 122240 152800 191000 305600 382000 611200 764000 1528000 3056000 3672127 7344254 14688508 18360635 29377016 36721270 58754032 73442540 91803175 117508064 146885080 183606350 235016128 293770160 367212700 459015875 470032256 587540320 701376257 734425400 918031750 1175080640 1402752514 1468850800 1836063500 2350161280 2805505028 2937701600 3506881285 3672127000 5611010056 5875403200 7013762570 7344254000 11222020112 11750806400 14027525140 14688508000 17534406425 22444040224 28055050280 29377016000 35068812850 44888080448 56110100560 58754032000 70137625700 87672032125 89776160896 112220201120 140275251400 175344064250 224440402240 280550502800 350688128500 448880804480 561101005600 701376257000 1122202011200 1402752514000 2244404022400 2805505028000 5611010056000 11222020112000