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12002120000211 = 3112315813069829
BaseRepresentation
bin1010111010100111011000…
…0110010110001011010011
31120111101120101020021100210
42232221312012112023103
53033120320210001321
641305410421015203
72346060502506105
oct256516606261323
946441511207323
1012002120000211
1139080859333a0
12141a111854503
13690a44990c93
142d6c97393575
1515c3090d8b76
hexaea761962d3

12002120000211 has 16 divisors (see below), whose sum is σ = 18216656444160. Its totient is φ = 6957750724320.

The previous prime is 12002120000203. The next prime is 12002120000219. The reversal of 12002120000211 is 11200002120021.

It is an interprime number because it is at equal distance from previous prime (12002120000203) and next prime (12002120000219).

It is not a de Polignac number, because 12002120000211 - 23 = 12002120000203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12002120000219) 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 15 ways as a sum of consecutive naturals, for example, 7906534156 + ... + 7906535673.

It is an arithmetic number, because the mean of its divisors is an integer number (1138541027760).

Almost surely, 212002120000211 is an apocalyptic number.

12002120000211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12002120000211 is a deficient number, since it is larger than the sum of its proper divisors (6214536443949).

12002120000211 is a wasteful number, since it uses less digits than its factorization.

12002120000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15813069866.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002120000211 its reverse (11200002120021), we get a palindrome (23202122120232).

The spelling of 12002120000211 in words is "twelve trillion, two billion, one hundred twenty million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 11 23 33 69 253 759 15813069829 47439209487 173943768119 363700606067 521831304357 1091101818201 4000706666737 12002120000211