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12222010000200 = 233527111323742307
BaseRepresentation
bin1011000111011010100010…
…0100001000001101001000
31121021102010220001122110110
42301312220210020031020
53100221134030001300
641554414110514320
72401003541615220
oct261665044101510
947242126048413
1012222010000200
113992364021a10
12145485a5059a0
136a86b8952700
14303796cc5080
15162dc87eb550
hexb1da8908348

12222010000200 has 1152 divisors, whose sum is σ = 52534107601920. Its totient is φ = 2280868761600.

The previous prime is 12222010000181. The next prime is 12222010000217. The reversal of 12222010000200 is 200001022221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 287 ways as a sum of consecutive naturals, for example, 288867447 + ... + 288909753.

It is an arithmetic number, because the mean of its divisors is an integer number (45602523960).

Almost surely, 212222010000200 is an apocalyptic number.

12222010000200 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 12222010000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26267053800960).

12222010000200 is an abundant number, since it is smaller than the sum of its proper divisors (40312097601720).

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

12222010000200 is a wasteful number, since it uses less digits than its factorization.

12222010000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42407 (or 42385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12222010000200 its reverse (200001022221), we get a palindrome (12422011022421).

The spelling of 12222010000200 in words is "twelve trillion, two hundred twenty-two billion, ten million, two hundred", and thus it is an aban number.