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12122120200 = 2352113536377
BaseRepresentation
bin10110100101000100…
…01110000000001000
31011021210220111202211
423102202032000020
5144311230321300
65322511034504
7606253215211
oct132242160010
934253814684
1012122120200
115160691363
12242380ba34
1311b25517b8
1482dd2a408
154ae3444ba
hex2d288e008

12122120200 has 48 divisors (see below), whose sum is σ = 28433397780. Its totient is φ = 4805928960.

The previous prime is 12122120159. The next prime is 12122120221. The reversal of 12122120200 is 202122121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 890783716 + 11231336484 = 29846^2 + 105978^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245589 + ... + 290788.

Almost surely, 212122120200 is an apocalyptic number.

12122120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122120200 is an abundant number, since it is smaller than the sum of its proper divisors (16311277580).

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

12122120200 is a wasteful number, since it uses less digits than its factorization.

12122120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536506 (or 536497 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12122120200 its reverse (202122121), we get a palindrome (12324242321).

The spelling of 12122120200 in words is "twelve billion, one hundred twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 22600 536377 1072754 2145508 2681885 4291016 5363770 10727540 13409425 21455080 26818850 53637700 60610601 107275400 121221202 242442404 303053005 484884808 606106010 1212212020 1515265025 2424424040 3030530050 6061060100 12122120200