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12010222112200 = 2352134619316197
BaseRepresentation
bin1010111011000101100100…
…0001011100110111001000
31120112011111000210012120121
42232301121001130313020
53033233413330042300
641313230405233024
72346465333355624
oct256613101346710
946464430705517
1012010222112200
113910563305014
12141b7b3102774
13691736406ca0
142d742543c184
1515c63055481a
hexaec5905cdc8

12010222112200 has 48 divisors (see below), whose sum is σ = 30071748448980. Its totient is φ = 4434543548160.

The previous prime is 12010222112191. The next prime is 12010222112201. The reversal of 12010222112200 is 221122201021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 447189113284 + 11563032998916 = 668722^2 + 3400446^2 .

It is not an unprimeable number, because it can be changed into a prime (12010222112201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2309655499 + ... + 2309660698.

Almost surely, 212010222112200 is an apocalyptic number.

12010222112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010222112200 is an abundant number, since it is smaller than the sum of its proper divisors (18061526336780).

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

12010222112200 is a wasteful number, since it uses less digits than its factorization.

12010222112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619316226 (or 4619316217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12010222112200 its reverse (221122201021), we get a palindrome (12231344313221).

The spelling of 12010222112200 in words is "twelve trillion, ten billion, two hundred twenty-two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4619316197 9238632394 18477264788 23096580985 36954529576 46193161970 60051110561 92386323940 115482904925 120102221122 184772647880 230965809850 240204442244 300255552805 461931619700 480408884488 600511105610 923863239400 1201022211220 1501277764025 2402044422440 3002555528050 6005111056100 12010222112200