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12200201020200 = 2335270939117333
BaseRepresentation
bin1011000110001001010010…
…1001011110001100101000
31121012022211222121200011110
42301202110221132030220
53044342002430121300
641540410040430320
72366302232423154
oct261422451361450
947168758550143
1012200201020200
1139840924654a6
1214505927783a0
136a662156250b
143026c866a064
1516254dd51550
hexb1894a5e328

12200201020200 has 192 divisors, whose sum is σ = 37888816924800. Its totient is φ = 3247524633600.

The previous prime is 12200201020199. The next prime is 12200201020213. The reversal of 12200201020200 is 202010200221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1663735734 + ... + 1663743066.

It is an arithmetic number, because the mean of its divisors is an integer number (197337588150).

Almost surely, 212200201020200 is an apocalyptic number.

12200201020200 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 12200201020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18944408462400).

12200201020200 is an abundant number, since it is smaller than the sum of its proper divisors (25688615904600).

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

12200201020200 is a wasteful number, since it uses less digits than its factorization.

12200201020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11972 (or 11963 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12200201020200 its reverse (202010200221), we get a palindrome (12402211220421).

The spelling of 12200201020200 in words is "twelve trillion, two hundred billion, two hundred one million, twenty thousand, two hundred".