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12002112011011 = 173137243715449
BaseRepresentation
bin1010111010100111010110…
…0111110111101100000011
31120111101112211012101020111
42232221311213313230003
53033120311133323021
641305405533452151
72346060344553013
oct256516547675403
946441484171214
1012002112011011
113908081376a51
12141a10b041057
13690a43124745
142d6c962b3c43
1515c30855b8e1
hexaea759f7b03

12002112011011 has 96 divisors (see below), whose sum is σ = 13992594739200. Its totient is φ = 10240705843200.

The previous prime is 12002112011009. The next prime is 12002112011041. The reversal of 12002112011011 is 11011021120021.

It is a happy number.

It is not a de Polignac number, because 12002112011011 - 21 = 12002112011009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002112010982 and 12002112011000.

It is not an unprimeable number, because it can be changed into a prime (12002112011041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2202623815 + ... + 2202629263.

It is an arithmetic number, because the mean of its divisors is an integer number (145756195200).

Almost surely, 212002112011011 is an apocalyptic number.

12002112011011 is a deficient number, since it is larger than the sum of its proper divisors (1990482728189).

12002112011011 is a wasteful number, since it uses less digits than its factorization.

12002112011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5685 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12002112011011 its reverse (11011021120021), we get a palindrome (23013133131032).

The spelling of 12002112011011 in words is "twelve trillion, two billion, one hundred twelve million, eleven thousand, eleven".

Divisors: 1 17 31 37 43 71 527 629 731 1147 1207 1333 1369 1591 2201 2627 3053 5449 19499 22661 23273 27047 37417 42439 44659 49321 51901 58867 81437 92633 94643 97199 112961 168919 201613 234307 386879 721463 838457 1000739 1384429 1608931 1652383 1824877 1920337 2871623 3013169 3427421 3501791 3983219 4179557 6250003 6576943 7263517 7459681 8669359 11993249 14314523 16635797 31022909 51223873 59530447 71052469 106250051 123479789 126814577 129566267 147379103 203885233 231250111 243346891 268750129 282808549 320766283 443750213 515709707 529637351 615524489 2202626539 3931251887 4568752193 5453026811 7543753621 8767065019 9003834967 9943754773 10463916313 16418757881 19081259159 22774406093 169043831141 279118883977 324381405703 387164903581 706006588883 12002112011011