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12002003002112 = 28293601266239
BaseRepresentation
bin1010111010100110111100…
…1000000010001100000000
31120111101021020002011010212
42232221233020002030000
53033120100232031422
641305351041213252
72346054552156554
oct256515710021400
946441236064125
1012002003002112
113908025891a52
12141a09a631228
13690a26678536
142d6c85a19864
1515c2edbc79e2
hexaea6f202300

12002003002112 has 72 divisors (see below), whose sum is σ = 24078976696320. Its totient is φ = 5970546892800.

The previous prime is 12002003002103. The next prime is 12002003002133. The reversal of 12002003002112 is 21120030020021.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 44946689 + ... + 45212927.

Almost surely, 212002003002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002003002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039488348160).

12002003002112 is an abundant number, since it is smaller than the sum of its proper divisors (12076973694208).

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

12002003002112 is an equidigital number, since it uses as much as digits as its factorization.

12002003002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267149 (or 267135 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12002003002112 its reverse (21120030020021), we get a palindrome (33122033022133).

The spelling of 12002003002112 in words is "twelve trillion, two billion, three million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 293 586 601 1172 1202 2344 2404 4688 4808 9376 9616 18752 19232 37504 38464 75008 76928 153856 176093 266239 352186 532478 704372 1064956 1408744 2129912 2817488 4259824 5634976 8519648 11269952 17039296 22539904 34078592 45079808 68157184 78008027 156016054 160009639 312032108 320019278 624064216 640038556 1248128432 1280077112 2496256864 2560154224 4992513728 5120308448 9985027456 10240616896 19970054912 20481233792 40962467584 46882824227 93765648454 187531296908 375062593816 750125187632 1500250375264 3000500750528 6001001501056 12002003002112