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12002120000205 = 357271312783843
BaseRepresentation
bin1010111010100111011000…
…0110010110001011001101
31120111101120101020021100120
42232221312012112023031
53033120320210001310
641305410421015153
72346060502506066
oct256516606261315
946441511207316
1012002120000205
113908085933395
12141a1118544b9
13690a44990c8a
142d6c9739356d
1515c3090d8b70
hexaea761962cd

12002120000205 has 32 divisors (see below), whose sum is σ = 19231500847104. Its totient is φ = 6391762614336.

The previous prime is 12002120000203. The next prime is 12002120000219. The reversal of 12002120000205 is 50200002120021.

It is not a de Polignac number, because 12002120000205 - 21 = 12002120000203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002120000203) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 143108014 + ... + 143191856.

It is an arithmetic number, because the mean of its divisors is an integer number (600984401472).

Almost surely, 212002120000205 is an apocalyptic number.

12002120000205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12002120000205 is a deficient number, since it is larger than the sum of its proper divisors (7229380846899).

12002120000205 is a wasteful number, since it uses less digits than its factorization.

12002120000205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97705.

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 12002120000205 its reverse (50200002120021), we get a palindrome (62202122120226).

The spelling of 12002120000205 in words is "twelve trillion, two billion, one hundred twenty million, two hundred five", and thus it is an aban number.

Divisors: 1 3 5 15 727 2181 3635 10905 13127 39381 65635 83843 196905 251529 419215 1257645 9543329 28629987 47716645 60953861 143149935 182861583 304769305 914307915 1100607061 3301821183 5503035305 16509105915 800141333347 2400424000041 4000706666735 12002120000205