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12021002100200 = 23521729611998637
BaseRepresentation
bin1010111011101101101110…
…0011110101110111101000
31120120012022022020100002102
42232323123203311313220
53033423003014201300
641322212213552532
72350326431635232
oct256733343656750
946505268210072
1012021002100200
113915095331605
121421901345748
1369276388b602
142d7b68ddb252
1515ca61b350d5
hexaeedb8f5de8

12021002100200 has 192 divisors, whose sum is σ = 31115196111600. Its totient is φ = 4297866854400.

The previous prime is 12021002100169. The next prime is 12021002100203. The reversal of 12021002100200 is 200120012021.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 909539875204 + 11111462224996 = 953698^2 + 3333386^2 .

It is not an unprimeable number, because it can be changed into a prime (12021002100203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5015282 + ... + 7013918.

Almost surely, 212021002100200 is an apocalyptic number.

12021002100200 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 12021002100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15557598055800).

12021002100200 is an abundant number, since it is smaller than the sum of its proper divisors (19094194011400).

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

12021002100200 is a wasteful number, since it uses less digits than its factorization.

12021002100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998760 (or 1998751 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12021002100200 its reverse (200120012021), we get a palindrome (12221122112221).

The spelling of 12021002100200 in words is "twelve trillion, twenty-one billion, two million, one hundred thousand, two hundred".