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12221203122000 = 2432534611472789
BaseRepresentation
bin1011000111010111100001…
…1110001000011101010000
31121021100001122202222122200
42301311320132020131100
53100213010444401000
641554202044403200
72400644543353515
oct261657036103520
947240048688580
1012221203122000
113991a8a613424
121454674246500
136a85ba731ba2
1430371ba8930c
15162d7ca66500
hexb1d78788750

12221203122000 has 240 divisors, whose sum is σ = 42777209114640. Its totient is φ = 3251915904000.

The previous prime is 12221203121873. The next prime is 12221203122059. The reversal of 12221203122000 is 22130212221.

12221203122000 is a `hidden beast` number, since 12 + 22 + 120 + 312 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8265464000784 + 3955739121216 = 2874972^2 + 1988904^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7561606 + ... + 9034394.

It is an arithmetic number, because the mean of its divisors is an integer number (178238371311).

Almost surely, 212221203122000 is an apocalyptic number.

12221203122000 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 12221203122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21388604557320).

12221203122000 is an abundant number, since it is smaller than the sum of its proper divisors (30556005992640).

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

12221203122000 is a wasteful number, since it uses less digits than its factorization.

12221203122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473279 (or 1473260 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12221203122000 its reverse (22130212221), we get a palindrome (12243333334221).

The spelling of 12221203122000 in words is "twelve trillion, two hundred twenty-one billion, two hundred three million, one hundred twenty-two thousand".