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200212221020000 = 255475693251201
BaseRepresentation
bin101101100001011110001010…
…010100000100011101100000
3222020220002201220220212212012
4231201132022110010131200
5202220234112040120000
61545452120302252052
760112566323240450
oct5541361224043540
9866802656825765
10200212221020000
1158880587275782
121a556577887028
138793c15479627
143762474c17d60
151822ea5391735
hexb6178a504760

200212221020000 has 240 divisors, whose sum is σ = 563017800657312. Its totient is φ = 68631859200000.

The previous prime is 200212221019999. The next prime is 200212221020057. The reversal of 200212221020000 is 20122212002.

It is a super-2 number, since 2×2002122210200002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 796894400 + ... + 797145600.

Almost surely, 2200212221020000 is an apocalyptic number.

200212221020000 is a gapful number since it is divisible by the number (20) 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 200212221020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281508900328656).

200212221020000 is an abundant number, since it is smaller than the sum of its proper divisors (362805579637312).

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

200212221020000 is an equidigital number, since it uses as much as digits as its factorization.

200212221020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256931 (or 256908 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200212221020000 its reverse (20122212002), we get a palindrome (200232343232002).

The spelling of 200212221020000 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty-one million, twenty thousand".