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12002200221200 = 245274286500079
BaseRepresentation
bin1010111010100111101011…
…1000010111011000010000
31120111101202222011220212112
42232221322320113120100
53033121001224034300
641305422404244452
72346062465412410
oct256517270273020
946441688156775
1012002200221200
113908117145632
12141a1346a0728
13690a5849ab17
142d6ca3cb6640
1515c311182e35
hexaea7ae17610

12002200221200 has 60 divisors (see below), whose sum is σ = 32954612615040. Its totient is φ = 4115040074880.

The previous prime is 12002200221181. The next prime is 12002200221217. The reversal of 12002200221200 is 212200220021.

12002200221200 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 (14).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2143247240 + ... + 2143252839.

It is an arithmetic number, because the mean of its divisors is an integer number (549243543584).

Almost surely, 212002200221200 is an apocalyptic number.

12002200221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002200221200 is an abundant number, since it is smaller than the sum of its proper divisors (20952412393840).

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

12002200221200 is a wasteful number, since it uses less digits than its factorization.

12002200221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286500104 (or 4286500093 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12002200221200 its reverse (212200220021), we get a palindrome (12214400441221).

The spelling of 12002200221200 in words is "twelve trillion, two billion, two hundred million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 4286500079 8573000158 17146000316 21432500395 30005500553 34292000632 42865000790 60011001106 68584001264 85730001580 107162501975 120022002212 150027502765 171460003160 214325003950 240044004424 300055005530 342920006320 428650007900 480088008848 600110011060 750137513825 857300015800 1200220022120 1500275027650 1714600031600 2400440044240 3000550055300 6001100110600 12002200221200