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12202011200 = 265211367489
BaseRepresentation
bin10110101110100101…
…11110101001000000
31011111101020101121202
423113102332221000
5144442203324300
65334443240332
7611243245451
oct132722765100
934441211552
1012202011200
1151a1798685
1224465190a8
1311c5c74392
1483a7a5128
154b6375ad5
hex2d74bea40

12202011200 has 84 divisors (see below), whose sum is σ = 30290726820. Its totient is φ = 4837539840.

The previous prime is 12202011193. The next prime is 12202011209. The reversal of 12202011200 is 211020221.

It is a happy number.

12202011200 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 6 ways, for example, as 6455158336 + 5746852864 = 80344^2 + 75808^2 .

It is not an unprimeable number, because it can be changed into a prime (12202011209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 147056 + ... + 214544.

Almost surely, 212202011200 is an apocalyptic number.

12202011200 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 12202011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145363410).

12202011200 is an abundant number, since it is smaller than the sum of its proper divisors (18088715620).

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

12202011200 is a wasteful number, since it uses less digits than its factorization.

12202011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67624 (or 67609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12202011200 its reverse (211020221), we get a palindrome (12413031421).

The spelling of 12202011200 in words is "twelve billion, two hundred two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 160 200 226 320 400 452 565 800 904 1130 1600 1808 2260 2825 3616 4520 5650 7232 9040 11300 18080 22600 36160 45200 67489 90400 134978 180800 269956 337445 539912 674890 1079824 1349780 1687225 2159648 2699560 3374450 4319296 5399120 6748900 7626257 10798240 13497800 15252514 21596480 26995600 30505028 38131285 53991200 61010056 76262570 107982400 122020112 152525140 190656425 244040224 305050280 381312850 488080448 610100560 762625700 1220201120 1525251400 2440402240 3050502800 6101005600 12202011200