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12002000012112 = 2431122731060629
BaseRepresentation
bin1010111010100110111011…
…1100101000001101010000
31120111101021000110020122010
42232221232330220031100
53033120044000341422
641305350453142520
72346054514564425
oct256515674501520
946441230406563
1012002000012112
11390802412a580
12141a09962aa40
13690a25b6c5c6
142d6c8547bd4c
1515c2ed7d6b0c
hexaea6ef28350

12002000012112 has 40 divisors (see below), whose sum is σ = 33823818217440. Its totient is φ = 3636969700480.

The previous prime is 12002000012089. The next prime is 12002000012143. The reversal of 12002000012112 is 21121000020021.

12002000012112 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 a congruent number.

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, 11365529787 + ... + 11365530842.

It is an arithmetic number, because the mean of its divisors is an integer number (845595455436).

Almost surely, 212002000012112 is an apocalyptic number.

12002000012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002000012112 is an abundant number, since it is smaller than the sum of its proper divisors (21821818205328).

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

12002000012112 is a wasteful number, since it uses less digits than its factorization.

12002000012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22731060651 (or 22731060645 counting only the distinct ones).

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

Adding to 12002000012112 its reverse (21121000020021), we get a palindrome (33123000032133).

The spelling of 12002000012112 in words is "twelve trillion, two billion, twelve 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 22731060629 45462121258 68193181887 90924242516 136386363774 181848485032 250041666919 272772727548 363696970064 500083333838 545545455096 750125000757 1000166667676 1091090910192 1500250001514 2000333335352 3000500003028 4000666670704 6001000006056 12002000012112