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11220400312000 = 265311127504549
BaseRepresentation
bin1010001101000111001111…
…1110011000111011000000
31110201122210222201120212221
42203101303332120323000
52432313334434441000
635510325235100424
72235434660005525
oct243216376307300
943648728646787
1011220400312000
1136365aa5084a0
121312709441714
1363510503b459
142ab0dab8514c
15146d05ac061a
hexa3473f98ec0

11220400312000 has 112 divisors (see below), whose sum is σ = 30313441735200. Its totient is φ = 4080145536000.

The previous prime is 11220400311949. The next prime is 11220400312007. The reversal of 11220400312000 is 21300402211.

11220400312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11220400312007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63664275 + ... + 63840274.

Almost surely, 211220400312000 is an apocalyptic number.

11220400312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220400312000 is an abundant number, since it is smaller than the sum of its proper divisors (19093041423200).

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

11220400312000 is a wasteful number, since it uses less digits than its factorization.

11220400312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127504587 (or 127504567 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11220400312000 its reverse (21300402211), we get a palindrome (11241700714211).

The spelling of 11220400312000 in words is "eleven trillion, two hundred twenty billion, four hundred million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 127504549 255009098 510018196 637522745 1020036392 1275045490 1402550039 2040072784 2550090980 2805100078 3187613725 4080145568 5100181960 5610200156 6375227450 7012750195 8160291136 10200363920 11220400312 12750454900 14025500390 15938068625 20400727840 22440800624 25500909800 28051000780 31876137250 35063750975 40801455680 44881601248 51001819600 56102001560 63752274500 70127501950 89763202496 102003639200 112204003120 127504549000 140255003900 175318754875 204007278400 224408006240 255009098000 280510007800 350637509750 448816012480 510018196000 561020015600 701275019500 1020036392000 1122040031200 1402550039000 2244080062400 2805100078000 5610200156000 11220400312000