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12003111010200 = 23352672396411949
BaseRepresentation
bin1010111010101011000100…
…1010101111111110011000
31120111111010102222210111110
42232222301022233332120
53033124332404311300
641310053021500320
72346124165115052
oct256526112577630
946444112883443
1012003111010200
113908544276912
12141a3497116a0
13690b720a121b
142d6d4cc408d2
1515c3660e1550
hexaeab12aff98

12003111010200 has 384 divisors, whose sum is σ = 38001674880000. Its totient is φ = 3133356441600.

The previous prime is 12003111010199. The next prime is 12003111010351. The reversal of 12003111010200 is 201011130021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6158598826 + ... + 6158600774.

It is an arithmetic number, because the mean of its divisors is an integer number (98962695000).

Almost surely, 212003111010200 is an apocalyptic number.

12003111010200 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 12003111010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19000837440000).

12003111010200 is an abundant number, since it is smaller than the sum of its proper divisors (25998563869800).

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

12003111010200 is a wasteful number, since it uses less digits than its factorization.

12003111010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2906 counting only the distinct ones).

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

Adding to 12003111010200 its reverse (201011130021), we get a palindrome (12204122140221).

The spelling of 12003111010200 in words is "twelve trillion, three billion, one hundred eleven million, ten thousand, two hundred".