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12002211122121 = 32111071277887261
BaseRepresentation
bin1010111010100111101110…
…0001111100101111001001
31120111101210201200202010100
42232221323201330233021
53033121012021401441
641305423434040013
72346062660153463
oct256517341745711
946441721622110
1012002211122121
113908122310660
12141a138279009
13690a5a81677c
142d6ca5513133
1515c3120d7cb6
hexaea7b87cbc9

12002211122121 has 48 divisors (see below), whose sum is σ = 19104298244928. Its totient is φ = 7200434313600.

The previous prime is 12002211122107. The next prime is 12002211122147. The reversal of 12002211122121 is 12122111220021.

12002211122121 is a `hidden beast` number, since 1 + 200 + 221 + 1 + 1 + 221 + 21 = 666.

It is not a de Polignac number, because 12002211122121 - 211 = 12002211120073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002211122094 and 12002211122103.

It is not an unprimeable number, because it can be changed into a prime (12002211122101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13083631 + ... + 13970891.

It is an arithmetic number, because the mean of its divisors is an integer number (398006213436).

Almost surely, 212002211122121 is an apocalyptic number.

12002211122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002211122121 is a deficient number, since it is larger than the sum of its proper divisors (7102087122807).

12002211122121 is a wasteful number, since it uses less digits than its factorization.

12002211122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888662 (or 888659 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12002211122121 its reverse (12122111220021), we get a palindrome (24124322342142).

The spelling of 12002211122121 in words is "twelve trillion, two billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 107 321 963 1177 1277 3531 3831 10593 11493 14047 42141 126423 136639 409917 887261 1229751 1503029 2661783 4509087 7985349 9759871 13527261 29279613 87838839 94936927 284810781 854432343 1044306197 1133032297 3132918591 3399096891 9398755773 10197290673 12463355267 37390065801 112170197403 121234455779 363703367337 1091110102011 1333579013569 4000737040707 12002211122121