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12012002121200 = 2452137219197119
BaseRepresentation
bin1010111011001100001100…
…0111101001010111110000
31120112100002002012000212212
42232303003013221113300
53033301040020334300
641314123153111252
72346560416242344
oct256630307512760
946470062160785
1012012002121200
113911297055134
12142000b258528
1369195b117a53
142d75539cd624
1515c6d695e935
hexaecc31e95f0

12012002121200 has 60 divisors (see below), whose sum is σ = 29069483660160. Its totient is φ = 4769729287680.

The previous prime is 12012002121191. The next prime is 12012002121253. The reversal of 12012002121200 is 212120021021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109543760 + ... + 109653359.

It is an arithmetic number, because the mean of its divisors is an integer number (484491394336).

Almost surely, 212012002121200 is an apocalyptic number.

12012002121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012002121200 is an abundant number, since it is smaller than the sum of its proper divisors (17057481538960).

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

12012002121200 is a wasteful number, since it uses less digits than its factorization.

12012002121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219197274 (or 219197263 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12012002121200 its reverse (212120021021), we get a palindrome (12224122142221).

The spelling of 12012002121200 in words is "twelve trillion, twelve billion, two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 137 200 274 400 548 685 1096 1370 2192 2740 3425 5480 6850 10960 13700 27400 54800 219197119 438394238 876788476 1095985595 1753576952 2191971190 3507153904 4383942380 5479927975 8767884760 10959855950 17535769520 21919711900 30030005303 43839423800 60060010606 87678847600 120120021212 150150026515 240240042424 300300053030 480480084848 600600106060 750750132575 1201200212120 1501500265150 2402400424240 3003000530300 6006001060600 12012002121200