Search a number
-
+
12221001012121 = 1153101211198317
BaseRepresentation
bin1011000111010110110001…
…1011001001001110011001
31121021022112120110202000121
42301311230123021032121
53100212102224341441
641554130024433241
72400636540431056
oct261655433111631
947238476422017
1012221001012121
11399199651a270
121454618618821
136a85878b9445
143036dccb802d
15162d69e41dd1
hexb1d6c6c9399

12221001012121 has 32 divisors (see below), whose sum is σ = 13724676827136. Its totient is φ = 10787231520000.

The previous prime is 12221001012083. The next prime is 12221001012167. The reversal of 12221001012121 is 12121010012221.

It is a cyclic number.

It is not a de Polignac number, because 12221001012121 - 213 = 12221001003929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221001012095 and 12221001012104.

It is not an unprimeable number, because it can be changed into a prime (12221001012421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124252855 + ... + 124351171.

It is an arithmetic number, because the mean of its divisors is an integer number (428896150848).

Almost surely, 212221001012121 is an apocalyptic number.

12221001012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221001012121 is a deficient number, since it is larger than the sum of its proper divisors (1503675815015).

12221001012121 is a wasteful number, since it uses less digits than its factorization.

12221001012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100593.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12221001012121 its reverse (12121010012221), we get a palindrome (24342011024342).

The spelling of 12221001012121 in words is "twelve trillion, two hundred twenty-one billion, one million, twelve thousand, one hundred twenty-one".

Divisors: 1 11 53 101 583 1111 2111 5353 23221 58883 98317 111883 213211 1081487 1230713 2345321 5210801 9930017 11300183 57318811 109230187 124302013 207547187 526290901 2283019057 5789199911 11000000911 20962265887 121000010021 230584924757 1111000092011 12221001012121