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200212021221120 = 2832539097444523
BaseRepresentation
bin101101100001011101111110…
…011001111001011100000000
3222020220002012222222001022200
4231201131332121321130000
5202220233204413033440
61545452044404033200
760112561346051436
oct5541357631713400
9866802188861280
10200212021221120
115888049450a937
121a556520992800
138793bb2c62a3c
143762456488d56
151822e92a76c30
hexb6177e679700

200212021221120 has 216 divisors, whose sum is σ = 692732014172016. Its totient is φ = 53388386648064.

The previous prime is 200212021221073. The next prime is 200212021221137. The reversal of 200212021221120 is 21122120212002.

It is a happy number.

200212021221120 is a `hidden beast` number, since 200 + 2 + 1 + 20 + 212 + 211 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200212021221093 and 200212021221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450175179 + ... + 450619701.

Almost surely, 2200212021221120 is an apocalyptic number.

200212021221120 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 200212021221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346366007086008).

200212021221120 is an abundant number, since it is smaller than the sum of its proper divisors (492519992950896).

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

200212021221120 is a wasteful number, since it uses less digits than its factorization.

200212021221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483647 (or 483630 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200212021221120 its reverse (21122120212002), we get a palindrome (221334141433122).

The spelling of 200212021221120 in words is "two hundred trillion, two hundred twelve billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty".