Search a number
-
+
121121001221121 = 321117307234421241
BaseRepresentation
bin11011100010100010101110…
…010000001010110000000001
3120212212001110211100101002200
4123202202232100022300001
5111333421302303033441
61105334115251303413
734340463215303466
oct3342425620126001
9525761424311080
10121121001221121
11356581456314a0
121170208a2aab69
13527787a1567b5
1421ca4057a766d
15e0097dbe57b6
hex6e28ae40ac01

121121001221121 has 48 divisors (see below), whose sum is σ = 202742493041088. Its totient is φ = 68863583462400.

The previous prime is 121121001221093. The next prime is 121121001221161. The reversal of 121121001221121 is 121122100121121.

It is a happy number.

121121001221121 is a `hidden beast` number, since 1 + 211 + 210 + 0 + 1 + 221 + 1 + 21 = 666.

It is not a de Polignac number, because 121121001221121 - 25 = 121121001221089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121121001221094 and 121121001221103.

It is not an unprimeable number, because it can be changed into a prime (121121001221161) 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, 116693940 + ... + 117727301.

It is an arithmetic number, because the mean of its divisors is an integer number (4223801938356).

Almost surely, 2121121001221121 is an apocalyptic number.

121121001221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121121001221121 is a deficient number, since it is larger than the sum of its proper divisors (81621491819967).

121121001221121 is a wasteful number, since it uses less digits than its factorization.

121121001221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234421582 (or 234421579 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121121001221121 its reverse (121122100121121), we get a palindrome (242243101342242).

The spelling of 121121001221121 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 307 561 921 1683 2763 3377 5219 10131 15657 30393 46971 57409 172227 516681 234421241 703263723 2109791169 2578633651 3985161097 7735900953 11955483291 23207702859 35866449873 43836772067 71967320987 131510316201 215901962961 394530948603 647705888883 791640530857 1223444456779 2374921592571 3670333370337 7124764777713 11011000111011 13457889024569 40373667073707 121121001221121