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201212200200 = 2335211192636101
BaseRepresentation
bin1011101101100100101…
…1101000010100001000
3201020100211020211120010
42323121023220110020
511244040310401300
6232234031431520
720352140324244
oct2733113502410
9636324224503
10201212200200
1178374050150
1232bb56855a0
1315c884c57bb
149a4b0a9424
155379abea50
hex2ed92e8508

201212200200 has 384 divisors, whose sum is σ = 719118259200. Its totient is φ = 46028160000.

The previous prime is 201212200187. The next prime is 201212200229. The reversal of 201212200200 is 2002212102.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32977150 + ... + 32983250.

It is an arithmetic number, because the mean of its divisors is an integer number (1872703800).

Almost surely, 2201212200200 is an apocalyptic number.

201212200200 is a gapful number since it is divisible by the number (20) 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 201212200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359559129600).

201212200200 is an abundant number, since it is smaller than the sum of its proper divisors (517906059000).

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

201212200200 is a wasteful number, since it uses less digits than its factorization.

201212200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201212200200 its reverse (2002212102), we get a palindrome (203214412302).

The spelling of 201212200200 in words is "two hundred one billion, two hundred twelve million, two hundred thousand, two hundred".