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12221103121 = 2910112973217
BaseRepresentation
bin10110110000110111…
…10011110000010001
31011112201011100210221
423120123303300101
5200012100244441
65340404353041
7611564443153
oct133033636021
934481140727
1012221103121
115201548727
1224509a5781
1311c9bca386
1483d134ad3
154b7d978d1
hex2d86f3c11

12221103121 has 16 divisors (see below), whose sum is σ = 12781509840. Its totient is φ = 11670220800.

The previous prime is 12221103109. The next prime is 12221103149. The reversal of 12221103121 is 12130112221.

12221103121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7540490896 + 4680612225 = 86836^2 + 68415^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221103121 - 223 = 12212714513 is a prime.

It is a super-2 number, since 2×122211031212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12221103095 and 12221103104.

It is not an unprimeable number, because it can be changed into a prime (12221103151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3797305 + ... + 3800521.

It is an arithmetic number, because the mean of its divisors is an integer number (798844365).

Almost surely, 212221103121 is an apocalyptic number.

It is an amenable number.

12221103121 is a deficient number, since it is larger than the sum of its proper divisors (560406719).

12221103121 is a wasteful number, since it uses less digits than its factorization.

12221103121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12221103121 its reverse (12130112221), we get a palindrome (24351215342).

The spelling of 12221103121 in words is "twelve billion, two hundred twenty-one million, one hundred three thousand, one hundred twenty-one".

Divisors: 1 29 101 1297 2929 3217 37613 93293 130997 324917 3798913 4172449 9422593 121001021 421417349 12221103121