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12000220011200 = 265210372816869
BaseRepresentation
bin1010111010100000010011…
…0110011101101011000000
31120111012122222001211102102
42232220010312131223000
53033102422310324300
641304454105405532
72345662432043411
oct256500466355300
946435588054372
1012000220011200
1139072a0395543
1214198814998a8
13690801162425
142d6b56ccd808
1515c2473ce0d5
hexaea04d9dac0

12000220011200 has 84 divisors (see below), whose sum is σ = 29814721787760. Its totient is φ = 4753485143040.

The previous prime is 12000220011193. The next prime is 12000220011203. The reversal of 12000220011200 is 211002200021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12000220011203) 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, 36243635 + ... + 36573234.

It is an arithmetic number, because the mean of its divisors is an integer number (354937164140).

Almost surely, 212000220011200 is an apocalyptic number.

12000220011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000220011200 is an abundant number, since it is smaller than the sum of its proper divisors (17814501776560).

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

12000220011200 is a wasteful number, since it uses less digits than its factorization.

12000220011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72816994 (or 72816979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12000220011200 its reverse (211002200021), we get a palindrome (12211222211221).

The spelling of 12000220011200 in words is "twelve trillion, two hundred twenty million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 160 200 206 320 400 412 515 800 824 1030 1600 1648 2060 2575 3296 4120 5150 6592 8240 10300 16480 20600 32960 41200 82400 164800 72816869 145633738 291267476 364084345 582534952 728168690 1165069904 1456337380 1820421725 2330139808 2912674760 3640843450 4660279616 5825349520 7281686900 7500137507 11650699040 14563373800 15000275014 23301398080 29126747600 30000550028 37500687535 58253495200 60001100056 75001375070 116506990400 120002200112 150002750140 187503437675 240004400224 300005500280 375006875350 480008800448 600011000560 750013750700 1200022001120 1500027501400 2400044002240 3000055002800 6000110005600 12000220011200