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200212221101200 = 245271131209690219
BaseRepresentation
bin101101100001011110001010…
…010100011000010010010000
3222020220002201221002000020121
4231201132022110120102100
5202220234112100214300
61545452120304120024
760112566324026260
oct5541361224302220
9866802657060217
10200212221101200
1158880587320790
121a556577906014
138793c154a7589
143762474c397a0
151822ea53aa81a
hexb6178a518490

200212221101200 has 240 divisors, whose sum is σ = 619045789962240. Its totient is φ = 60390782784000.

The previous prime is 200212221101177. The next prime is 200212221101213. The reversal of 200212221101200 is 2101122212002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 103890310 + ... + 105799909.

It is an arithmetic number, because the mean of its divisors is an integer number (2579357458176).

Almost surely, 2200212221101200 is an apocalyptic number.

200212221101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212221101200 is an abundant number, since it is smaller than the sum of its proper divisors (418833568861040).

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

200212221101200 is a wasteful number, since it uses less digits than its factorization.

200212221101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209690286 (or 209690275 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200212221101200 its reverse (2101122212002), we get a palindrome (202313343313202).

The spelling of 200212221101200 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty-one million, one hundred one thousand, two hundred".