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121112321121 = 3411135928531
BaseRepresentation
bin111000011001011011…
…0110101110001100001
3102120121112012101020000
41300302312311301201
53441014223233441
6131345505210213
711515163513061
oct1606266656141
9376545171200
10121112321121
11473aa825480
121b580330969
13b56179024c
145c0cd713a1
15323c9722b6
hex1c32db5c61

121112321121 has 20 divisors (see below), whose sum is σ = 197368228464. Its totient is φ = 73401406200.

The previous prime is 121112321119. The next prime is 121112321123. The reversal of 121112321121 is 121123211121.

It is a happy number.

121112321121 is a `hidden beast` number, since 1 + 211 + 12 + 321 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (121112321119) and next prime (121112321123).

It is not a de Polignac number, because 121112321121 - 21 = 121112321119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121112321094 and 121112321103.

It is not an unprimeable number, because it can be changed into a prime (121112321123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67963375 + ... + 67965156.

Almost surely, 2121112321121 is an apocalyptic number.

121112321121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121112321121 is a deficient number, since it is larger than the sum of its proper divisors (76255907343).

121112321121 is a wasteful number, since it uses less digits than its factorization.

121112321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135928554 (or 135928545 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 121112321121 its reverse (121123211121), we get a palindrome (242235532242).

Subtracting 121112321121 from its reverse (121123211121), we obtain a square (10890000 = 33002).

The spelling of 121112321121 in words is "one hundred twenty-one billion, one hundred twelve million, three hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 297 891 135928531 407785593 1223356779 1495213841 3670070337 4485641523 11010211011 13456924569 40370773707 121112321121