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12200130400 = 255233146073
BaseRepresentation
bin10110101110010111…
…10011011101100000
31011111020200211122111
423113023303131200
5144441213133100
65334335045104
7611221253203
oct132713633540
934436624574
1012200130400
1151a07235a7
122445970794
1311c5766293
1483a43593a
154b61036ba
hex2d72f3760

12200130400 has 72 divisors (see below), whose sum is σ = 29874197304. Its totient is φ = 4865203200.

The previous prime is 12200130331. The next prime is 12200130403. The reversal of 12200130400 is 403100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200130403) 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 11 ways as a sum of consecutive naturals, for example, 241764 + ... + 287836.

It is an arithmetic number, because the mean of its divisors is an integer number (414919407).

Almost surely, 212200130400 is an apocalyptic number.

12200130400 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 12200130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14937098652).

12200130400 is an abundant number, since it is smaller than the sum of its proper divisors (17674066904).

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

12200130400 is a wasteful number, since it uses less digits than its factorization.

12200130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46424 (or 46411 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12200130400 its reverse (403100221), we get a palindrome (12603230621).

The spelling of 12200130400 in words is "twelve billion, two hundred million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 331 400 662 800 1324 1655 2648 3310 5296 6620 8275 10592 13240 16550 26480 33100 46073 52960 66200 92146 132400 184292 230365 264800 368584 460730 737168 921460 1151825 1474336 1842920 2303650 3685840 4607300 7371680 9214600 15250163 18429200 30500326 36858400 61000652 76250815 122001304 152501630 244002608 305003260 381254075 488005216 610006520 762508150 1220013040 1525016300 2440026080 3050032600 6100065200 12200130400