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12002211202120 = 2351972539599891
BaseRepresentation
bin1010111010100111101110…
…0010010000010001001000
31120111101210201211210212021
42232221323202100101020
53033121012031431440
641305423435454224
72346062660635636
oct256517342202110
946441721753767
1012002211202120
113908122365777
12141a1382b7374
13690a5a843cc9
142d6ca5534356
1515c31210184a
hexaea7b890448

12002211202120 has 64 divisors (see below), whose sum is σ = 27152791617600. Its totient is φ = 4774625291520.

The previous prime is 12002211202109. The next prime is 12002211202133. The reversal of 12002211202120 is 2120211220021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12002211202094 and 12002211202103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19707375 + ... + 20307265.

It is an arithmetic number, because the mean of its divisors is an integer number (424262369025).

Almost surely, 212002211202120 is an apocalyptic number.

12002211202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002211202120 is an abundant number, since it is smaller than the sum of its proper divisors (15150580415480).

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

12002211202120 is a wasteful number, since it uses less digits than its factorization.

12002211202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602638 (or 602634 counting only the distinct ones).

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

Adding to 12002211202120 its reverse (2120211220021), we get a palindrome (14122422422141).

The spelling of 12002211202120 in words is "twelve trillion, two billion, two hundred eleven million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1970 2539 3940 5078 7880 10156 12695 20312 25390 50780 101560 500183 599891 1000366 1199782 2000732 2399564 2500915 2999455 4001464 4799128 5001830 5998910 10003660 11997820 20007320 23995640 118178527 236357054 472714108 590892635 945428216 1181785270 1523123249 2363570540 3046246498 4727141080 6092492996 7615616245 12184985992 15231232490 30462464980 60924929960 300055280053 600110560106 1200221120212 1500276400265 2400442240424 3000552800530 6001105601060 12002211202120