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12210220200 = 2335220350367
BaseRepresentation
bin10110101111100100…
…10010110010101000
31011111221200110020210
423113302102302220
5200001304021300
65335335221120
7611403105423
oct132762226250
934457613223
1012210220200
1151a6395182
1224492177a0
1311c7889989
1483b9009ba
154b6e48050
hex2d7c92ca8

12210220200 has 48 divisors (see below), whose sum is σ = 37851684480. Its totient is φ = 3256058560.

The previous prime is 12210220163. The next prime is 12210220219. The reversal of 12210220200 is 202201221.

12210220200 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10174584 + ... + 10175783.

It is an arithmetic number, because the mean of its divisors is an integer number (788576760).

Almost surely, 212210220200 is an apocalyptic number.

12210220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210220200 is an abundant number, since it is smaller than the sum of its proper divisors (25641464280).

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

12210220200 is a wasteful number, since it uses less digits than its factorization.

12210220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20350386 (or 20350377 counting only the distinct ones).

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

Adding to 12210220200 its reverse (202201221), we get a palindrome (12412421421).

The spelling of 12210220200 in words is "twelve billion, two hundred ten million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20350367 40700734 61051101 81401468 101751835 122102202 162802936 203503670 244204404 305255505 407007340 488408808 508759175 610511010 814014680 1017518350 1221022020 1526277525 2035036700 2442044040 3052555050 4070073400 6105110100 12210220200