Search a number
-
+
121000001221 = 1197887127849
BaseRepresentation
bin111000010110000101…
…0010111111011000101
3102120022200211221021201
41300230022113323011
53440302000014341
6131330413542501
711512331016601
oct1605412277305
9376280757251
10121000001221
1147352389910
121b54a7a4a31
13b544424c78
145bdc094501
153232b87331
hex1c2c297ec5

121000001221 has 16 divisors (see below), whose sum is σ = 133512220800. Its totient is φ = 108742394880.

The previous prime is 121000001201. The next prime is 121000001267. The reversal of 121000001221 is 122100000121.

It is a cyclic number.

It is not a de Polignac number, because 121000001221 - 27 = 121000001093 is a prime.

It is a Duffinian number.

121000001221 is a modest number, since divided by 1221 gives 121 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 121000001198 and 121000001207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000001201) 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 15 ways as a sum of consecutive naturals, for example, 882505 + ... + 1010353.

It is an arithmetic number, because the mean of its divisors is an integer number (8344513800).

Almost surely, 2121000001221 is an apocalyptic number.

121000001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121000001221 is a deficient number, since it is larger than the sum of its proper divisors (12512219579).

121000001221 is a wasteful number, since it uses less digits than its factorization.

121000001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128844.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121000001221 its reverse (122100000121), we get a palindrome (243100001342).

The spelling of 121000001221 in words is "one hundred twenty-one billion, one thousand, two hundred twenty-one".

Divisors: 1 11 97 887 1067 9757 86039 127849 946429 1406339 12401353 113402063 136414883 1247422693 11000000111 121000001221