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12200132240 = 245152501653
BaseRepresentation
bin10110101110010111…
…10011111010010000
31011111020200221011122
423113023303322100
5144441213212430
65334335101412
7611221261442
oct132713637220
934436627148
1012200132240
1151a0724a1a
122445971868
1311c576707a
1483a436492
154b6103ee5
hex2d72f3e90

12200132240 has 20 divisors (see below), whose sum is σ = 28365307644. Its totient is φ = 4880052864.

The previous prime is 12200132239. The next prime is 12200132249. The reversal of 12200132240 is 4223100221.

It can be written as a sum of positive squares in 2 ways, for example, as 5219195536 + 6980936704 = 72244^2 + 83552^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (12200132249) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 76250747 + ... + 76250906.

Almost surely, 212200132240 is an apocalyptic number.

12200132240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200132240 is an abundant number, since it is smaller than the sum of its proper divisors (16165175404).

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

12200132240 is a wasteful number, since it uses less digits than its factorization.

12200132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152501666 (or 152501660 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12200132240 its reverse (4223100221), we get a palindrome (16423232461).

The spelling of 12200132240 in words is "twelve billion, two hundred million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 152501653 305003306 610006612 762508265 1220013224 1525016530 2440026448 3050033060 6100066120 12200132240