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121211111120121 = 32112111304968889
BaseRepresentation
bin11011100011110110101001…
…001110001001110011111001
3120220011200001202000112022100
4123203312221032021303321
5111341410323421320441
61105443340555214013
734350133220641341
oct3343665116116371
9526150052015270
10121211111120121
1135692386295300
1211717637a47309
13528320a977169
1421d0913111d21
15e02ea4a2ecb6
hex6e3da9389cf9

121211111120121 has 18 divisors (see below), whose sum is σ = 192446291210810. Its totient is φ = 73461279466080.

The previous prime is 121211111120059. The next prime is 121211111120173. The reversal of 121211111120121 is 121021111112121.

121211111120121 is a `hidden beast` number, since 121 + 211 + 1 + 111 + 201 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65260546560000 + 55950564560121 = 8078400^2 + 7480011^2 .

It is not a de Polignac number, because 121211111120121 - 211 = 121211111118073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121211111120094 and 121211111120103.

It is not an unprimeable number, because it can be changed into a prime (121211111127121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55652483356 + ... + 55652485533.

Almost surely, 2121211111120121 is an apocalyptic number.

121211111120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121211111120121 is a deficient number, since it is larger than the sum of its proper divisors (71235180090689).

121211111120121 is a wasteful number, since it uses less digits than its factorization.

121211111120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111304968917 (or 111304968903 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 121211111120121 its reverse (121021111112121), we get a palindrome (242232222232242).

The spelling of 121211111120121 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred eleven million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 111304968889 333914906667 1001744720001 1224354657779 3673063973337 11019191920011 13467901235569 40403703706707 121211111120121