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12202143212000 = 255377110956311
BaseRepresentation
bin1011000110010000100001…
…1010010110000111100000
31121012111212100012020110002
42301210020122112013200
53044404442130241000
641541330500355132
72366401324660010
oct261441032260740
947174770166402
1012202143212000
113984999808995
121450a350a5aa8
136a6870a49431
14302830597c40
151626145e58d5
hexb19086961e0

12202143212000 has 384 divisors, whose sum is σ = 35065599528960. Its totient is φ = 4086754560000.

The previous prime is 12202143211987. The next prime is 12202143212009. The reversal of 12202143212000 is 21234120221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202143212009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 216663845 + ... + 216720155.

It is an arithmetic number, because the mean of its divisors is an integer number (91316665440).

Almost surely, 212202143212000 is an apocalyptic number.

12202143212000 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 12202143212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17532799764480).

12202143212000 is an abundant number, since it is smaller than the sum of its proper divisors (22863456316960).

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

12202143212000 is a wasteful number, since it uses less digits than its factorization.

12202143212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56523 (or 56505 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12202143212000 its reverse (21234120221), we get a palindrome (12223377332221).

The spelling of 12202143212000 in words is "twelve trillion, two hundred two billion, one hundred forty-three million, two hundred twelve thousand".