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12011102200200 = 23352414631054549
BaseRepresentation
bin1010111011001000110101…
…1110101110000110001000
31120112020202100211022100110
42232302031132232012020
53033242214130401300
641313454004434320
72346526211113065
oct256621536560610
946466670738313
1012011102200200
113910975077174
12141b9b99a89a0
1369184684b30c
142d74aa293c6c
1515c68294b550
hexaec8d7ae188

12011102200200 has 192 divisors, whose sum is σ = 38224990944000. Its totient is φ = 3118087526400.

The previous prime is 12011102200199. The next prime is 12011102200219. The reversal of 12011102200200 is 200220111021.

12011102200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10862526 + ... + 11917074.

It is an arithmetic number, because the mean of its divisors is an integer number (199088494500).

Almost surely, 212011102200200 is an apocalyptic number.

12011102200200 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 12011102200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19112495472000).

12011102200200 is an abundant number, since it is smaller than the sum of its proper divisors (26213888743800).

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

12011102200200 is a wasteful number, since it uses less digits than its factorization.

12011102200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055072 (or 1055063 counting only the distinct ones).

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

Adding to 12011102200200 its reverse (200220111021), we get a palindrome (12211322311221).

The spelling of 12011102200200 in words is "twelve trillion, eleven billion, one hundred two million, two hundred thousand, two hundred".