Base | Representation |
---|---|
bin | 1011000111010011011011… |
… | …0110000110111111110101 |
3 | 1121021020012221000211210200 |
4 | 2301310312312012333311 |
5 | 3100203232120024341 |
6 | 41553500514111113 |
7 | 2400605344050534 |
oct | 261646666067765 |
9 | 47236187024720 |
10 | 12220102111221 |
11 | 3991575078764 |
12 | 145440757b499 |
13 | 6a84735b9114 |
14 | 30365576631b |
15 | 162d16080db6 |
hex | b1d36d86ff5 |
12220102111221 has 36 divisors (see below), whose sum is σ = 18262969042500. Its totient is φ = 7873353197568.
The previous prime is 12220102111211. The next prime is 12220102111271. The reversal of 12220102111221 is 12211120102221.
12220102111221 is a `hidden beast` number, since 1 + 2 + 220 + 10 + 211 + 1 + 221 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 4207318880625 + 8012783230596 = 2051175^2 + 2830686^2 .
It is not a de Polignac number, because 12220102111221 - 213 = 12220102103029 is a prime.
It is a super-2 number, since 2×122201021112212 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12220102111194 and 12220102111203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12220102111211) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1492396 + ... + 5164053.
It is an arithmetic number, because the mean of its divisors is an integer number (507304695625).
Almost surely, 212220102111221 is an apocalyptic number.
It is an amenable number.
12220102111221 is a deficient number, since it is larger than the sum of its proper divisors (6042866931279).
12220102111221 is a wasteful number, since it uses less digits than its factorization.
12220102111221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6656678 (or 6656638 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 12220102111221 its reverse (12211120102221), we get a palindrome (24431222213442).
The spelling of 12220102111221 in words is "twelve trillion, two hundred twenty billion, one hundred two million, one hundred eleven thousand, two hundred twenty-one".
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