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12116943283600 = 24521740472
BaseRepresentation
bin1011000001010011001000…
…0110011010010110010000
31120220100221121111102200101
42300110302012122112100
53042010444440033400
641434240310302144
72360264102352211
oct260246206322620
946810847442611
1012116943283600
113951848660721
121438417957954
1369b81352520c
142dc66ad97408
151602c987c56a
hexb053219a590

12116943283600 has 45 divisors (see below), whose sum is σ = 29111123498977. Its totient is φ = 4846749465920.

The previous prime is 12116943283597. The next prime is 12116943283619. The reversal of 12116943283600 is 638234961121.

It is a happy number.

The square root of 12116943283600 is 3480940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4362099582096 + 7754843701504 = 2088564^2 + 2784752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69531777 + ... + 69705823.

Almost surely, 212116943283600 is an apocalyptic number.

12116943283600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12116943283600 is the 3480940-th square number.

It is an amenable number.

12116943283600 is an abundant number, since it is smaller than the sum of its proper divisors (16994180215377).

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

12116943283600 is an frugal number, since it uses more digits than its factorization.

12116943283600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348112 (or 174054 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 12116943283600 in words is "twelve trillion, one hundred sixteen billion, nine hundred forty-three million, two hundred eighty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 174047 348094 696188 870235 1392376 1740470 2784752 3480940 4351175 6961880 8702350 13923760 17404700 34809400 69618800 30292358209 60584716418 121169432836 151461791045 242338865672 302923582090 484677731344 605847164180 757308955225 1211694328360 1514617910450 2423388656720 3029235820900 6058471641800 12116943283600