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12002100200112 = 2431122731250379
BaseRepresentation
bin1010111010100111010011…
…1010110100001010110000
31120111101111222222022201210
42232221310322310022300
53033120300122400422
641305404432400120
72346060142301631
oct256516472641260
946441458868653
1012002100200112
11390807573a280
12141a1070a6040
13690a4084a849
142d6c948bb888
1515c3074c710c
hexaea74eb42b0

12002100200112 has 40 divisors (see below), whose sum is σ = 33824100565440. Its totient is φ = 3637000060480.

The previous prime is 12002100200099. The next prime is 12002100200171. The reversal of 12002100200112 is 21100200120021.

12002100200112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11365624662 + ... + 11365625717.

It is an arithmetic number, because the mean of its divisors is an integer number (845602514136).

Almost surely, 212002100200112 is an apocalyptic number.

12002100200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002100200112 is an abundant number, since it is smaller than the sum of its proper divisors (21822000365328).

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

12002100200112 is a wasteful number, since it uses less digits than its factorization.

12002100200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22731250401 (or 22731250395 counting only the distinct ones).

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

Adding to 12002100200112 its reverse (21100200120021), we get a palindrome (33102300320133).

The spelling of 12002100200112 in words is "twelve trillion, two billion, one hundred million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 22731250379 45462500758 68193751137 90925001516 136387502274 181850003032 250043754169 272775004548 363700006064 500087508338 545550009096 750131262507 1000175016676 1091100018192 1500262525014 2000350033352 3000525050028 4000700066704 6001050100056 12002100200112