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12220112120121 = 3217967407920249
BaseRepresentation
bin1011000111010011011101…
…1100010010100100111001
31121021020020121212100102200
42301310313130102210321
53100203242200320441
641553501512420413
72400605525115153
oct261646734224471
947236217770380
1012220112120121
11399157a794584
12145440a9a7709
136a84756b1a49
14303656c0dad3
15162d16dab7b6
hexb1d37712939

12220112120121 has 48 divisors (see below), whose sum is σ = 18714421440000. Its totient is φ = 7657336157184.

The previous prime is 12220112120059. The next prime is 12220112120171. The reversal of 12220112120121 is 12102121102221.

12220112120121 is a `hidden beast` number, since 122 + 201 + 121 + 201 + 21 = 666.

It is not a de Polignac number, because 12220112120121 - 211 = 12220112118073 is a prime.

It is a super-2 number, since 2×122201121201212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12220112120094 and 12220112120103.

It is not an unprimeable number, because it can be changed into a prime (12220112120171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603482005 + ... + 603502253.

It is an arithmetic number, because the mean of its divisors is an integer number (389883780000).

Almost surely, 212220112120121 is an apocalyptic number.

It is an amenable number.

12220112120121 is a deficient number, since it is larger than the sum of its proper divisors (6494309319879).

12220112120121 is a wasteful number, since it uses less digits than its factorization.

12220112120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25318 (or 25315 counting only the distinct ones).

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

Adding to 12220112120121 its reverse (12102121102221), we get a palindrome (24322233222342).

The spelling of 12220112120121 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 967 2901 4079 8703 12237 16439 20249 36711 49317 60747 69343 147951 182241 208029 344233 624087 1032699 3098097 3944393 11833179 19580783 35499537 58742349 67054681 82595671 176227047 201164043 247787013 332873311 603492129 743361039 998619933 1404126407 2995859799 4212379221 12637137663 79870013857 239610041571 718830124713 1357790235569 4073370706707 12220112120121