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12192597220 = 22541137108533
BaseRepresentation
bin10110101101011110…
…00100010011100100
31011110201112010001211
423112233010103210
5144432301102340
65333505401204
7611100236446
oct132657042344
934421463054
1012192597220
115197448831
122443339204
1311c402948b
14839434496
154b56165ea
hex2d6bc44e4

12192597220 has 48 divisors (see below), whose sum is σ = 26420648688. Its totient is φ = 4723312640.

The previous prime is 12192597211. The next prime is 12192597257. The reversal of 12192597220 is 2279529121.

12192597220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4342282816 + 7850314404 = 65896^2 + 88602^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58074 + ... + 166606.

It is an arithmetic number, because the mean of its divisors is an integer number (550430181).

Almost surely, 212192597220 is an apocalyptic number.

12192597220 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 12192597220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13210324344).

12192597220 is an abundant number, since it is smaller than the sum of its proper divisors (14228051468).

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

12192597220 is a wasteful number, since it uses less digits than its factorization.

12192597220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108720 (or 108718 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 12192597220 in words is "twelve billion, one hundred ninety-two million, five hundred ninety-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 137 164 205 274 410 548 685 820 1370 2740 5617 11234 22468 28085 56170 108533 112340 217066 434132 542665 1085330 2170660 4449853 8899706 14869021 17799412 22249265 29738042 44498530 59476084 74345105 88997060 148690210 297380420 609629861 1219259722 2438519444 3048149305 6096298610 12192597220