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200212201221120 = 21032511735410813
BaseRepresentation
bin101101100001011110001001…
…001000100010110000000000
3222020220002200112122222220100
4231201132021020202300000
5202220234042003033440
61545452114314042400
760112565663036664
oct5541361110426000
9866802615588810
10200212201221120
1158880577082570
121a556571119400
138793c1133690a
1437624723428a4
151822ea3780230
hexb61789222c00

200212201221120 has 528 divisors, whose sum is σ = 767163648974112. Its totient is φ = 47871401656320.

The previous prime is 200212201221041. The next prime is 200212201221139. The reversal of 200212201221120 is 21122102212002.

It is a happy number.

200212201221120 is a `hidden beast` number, since 20 + 0 + 212 + 201 + 2 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 = 200212201221093 and 200212201221102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34296834 + ... + 39707646.

Almost surely, 2200212201221120 is an apocalyptic number.

200212201221120 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 200212201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383581824487056).

200212201221120 is an abundant number, since it is smaller than the sum of its proper divisors (566951447752992).

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

200212201221120 is a wasteful number, since it uses less digits than its factorization.

200212201221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410928 (or 5410907 counting only the distinct ones).

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

Adding to 200212201221120 its reverse (21122102212002), we get a palindrome (221334303433122).

The spelling of 200212201221120 in words is "two hundred trillion, two hundred twelve billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".