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12011120220 = 223511107170081
BaseRepresentation
bin10110010111110101…
…10010011001011100
31011000002001010102110
423023322302121130
5144044321321340
65303503554020
7603434560131
oct131372623134
934002033373
1012011120220
115103a67440
1223b25bb910
131195559238
1481d2b4588
154a471a680
hex2cbeb265c

12011120220 has 96 divisors (see below), whose sum is σ = 37031613696. Its totient is φ = 2884556800.

The previous prime is 12011120201. The next prime is 12011120287. The reversal of 12011120220 is 2202111021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12011120196 and 12011120205.

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 31 ways as a sum of consecutive naturals, for example, 14421 + ... + 155660.

It is an arithmetic number, because the mean of its divisors is an integer number (385745976).

Almost surely, 212011120220 is an apocalyptic number.

12011120220 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 12011120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18515806848).

12011120220 is an abundant number, since it is smaller than the sum of its proper divisors (25020493476).

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

12011120220 is a wasteful number, since it uses less digits than its factorization.

12011120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170211 (or 170209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12011120220 its reverse (2202111021), we get a palindrome (14213231241).

It can be divided in two parts, 12011 and 120220, that added together give a palindrome (132231).

The spelling of 12011120220 in words is "twelve billion, eleven million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 107 110 132 165 214 220 321 330 428 535 642 660 1070 1177 1284 1605 2140 2354 3210 3531 4708 5885 6420 7062 11770 14124 17655 23540 35310 70620 170081 340162 510243 680324 850405 1020486 1700810 1870891 2040972 2551215 3401620 3741782 5102430 5612673 7483564 9354455 10204860 11225346 18198667 18708910 22450692 28063365 36397334 37417820 54596001 56126730 72794668 90993335 109192002 112253460 181986670 200185337 218384004 272980005 363973340 400370674 545960010 600556011 800741348 1000926685 1091920020 1201112022 2001853370 2402224044 3002780055 4003706740 6005560110 12011120220