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12110110000200 = 23335215725156909
BaseRepresentation
bin1011000000111001101011…
…0011100000010001001000
31120212201022101110200002000
42300032122303200101020
53041403001130001300
641431150245311000
72356632546405162
oct260163263402110
946781271420060
1012110110000200
113949961426773
12143702b405460
1369ac94921c64
142dc1bd637932
151600299e5c00
hexb039ace0448

12110110000200 has 384 divisors, whose sum is σ = 42146271216000. Its totient is φ = 3195953280000.

The previous prime is 12110110000133. The next prime is 12110110000211. The reversal of 12110110000200 is 200001101121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 95 ways as a sum of consecutive naturals, for example, 212769346 + ... + 212826254.

It is an arithmetic number, because the mean of its divisors is an integer number (109755914625).

Almost surely, 212110110000200 is an apocalyptic number.

12110110000200 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 12110110000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21073135608000).

12110110000200 is an abundant number, since it is smaller than the sum of its proper divisors (30036161215800).

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

12110110000200 is a wasteful number, since it uses less digits than its factorization.

12110110000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57342 (or 57327 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12110110000200 its reverse (200001101121), we get a palindrome (12310111101321).

The spelling of 12110110000200 in words is "twelve trillion, one hundred ten billion, one hundred ten million, two hundred", and thus it is an aban number.