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12012221120 = 265257146063
BaseRepresentation
bin10110010111111101…
…11111001011000000
31011000011010001120112
423023332333023000
5144100112033440
65303543330452
7603450123554
oct131376771300
934004101515
1012012221120
115104649579
1223b2a50a28
131195853363
1481d4bd864
154a4886965
hex2cbfbf2c0

12012221120 has 56 divisors (see below), whose sum is σ = 28715598144. Its totient is φ = 4786159616.

The previous prime is 12012221119. The next prime is 12012221129. The reversal of 12012221120 is 2112221021.

It is a junction number, because it is equal to n+sod(n) for n = 12012221095 and 12012221104.

It is not an unprimeable number, because it can be changed into a prime (12012221129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9209 + ... + 155271.

Almost surely, 212012221120 is an apocalyptic number.

12012221120 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 12012221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14357799072).

12012221120 is an abundant number, since it is smaller than the sum of its proper divisors (16703377024).

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

12012221120 is a wasteful number, since it uses less digits than its factorization.

12012221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146337 (or 146327 counting only the distinct ones).

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

Adding to 12012221120 its reverse (2112221021), we get a palindrome (14124442141).

Subtracting from 12012221120 its reverse (2112221021), we obtain a palindrome (9900000099).

The spelling of 12012221120 in words is "twelve billion, twelve million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 257 320 514 1028 1285 2056 2570 4112 5140 8224 10280 16448 20560 41120 82240 146063 292126 584252 730315 1168504 1460630 2337008 2921260 4674016 5842520 9348032 11685040 23370080 37538191 46740160 75076382 150152764 187690955 300305528 375381910 600611056 750763820 1201222112 1501527640 2402444224 3003055280 6006110560 12012221120