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12212110000200 = 2335211101149122953
BaseRepresentation
bin1011000110110101101001…
…1110101000000001001000
31121020110120221110112112210
42301231122132220001020
53100040400130001300
641550055455305120
72400203320165365
oct261553236500110
947213527415483
1012212110000200
1139891437a9430
121452956b1b1a0
136a779b8a8a46
143030d815346c
151629e95e3050
hexb1b5a7a8048

12212110000200 has 384 divisors, whose sum is σ = 41988299184000. Its totient is φ = 2911503360000.

The previous prime is 12212110000171. The next prime is 12212110000217. The reversal of 12212110000200 is 200001121221.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99261924 + ... + 99384876.

It is an arithmetic number, because the mean of its divisors is an integer number (109344529125).

Almost surely, 212212110000200 is an apocalyptic number.

12212110000200 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 12212110000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20994149592000).

12212110000200 is an abundant number, since it is smaller than the sum of its proper divisors (29776189183800).

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

12212110000200 is a wasteful number, since it uses less digits than its factorization.

12212110000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123233 (or 123224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12212110000200 its reverse (200001121221), we get a palindrome (12412111121421).

The spelling of 12212110000200 in words is "twelve trillion, two hundred twelve billion, one hundred ten million, two hundred", and thus it is an aban number.