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12221002121 = 101346134961
BaseRepresentation
bin10110110000110110…
…11011000110001001
31011112200222020021012
423120123123012021
5200012034031441
65340402253305
7611563542536
oct133033330611
934480866235
1012221002121
115201489859
122450957235
1311c9b93403
1483d109d8d
154b7d779eb
hex2d86db189

12221002121 has 8 divisors (see below), whose sum is σ = 12345921288. Its totient is φ = 12096160000.

The previous prime is 12221002067. The next prime is 12221002127. The reversal of 12221002121 is 12120012221.

12221002121 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 4 ways, for example, as 2546312521 + 9674689600 = 50461^2 + 98360^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12221002121 - 210 = 12221001097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12221002096 and 12221002105.

It is not an unprimeable number, because it can be changed into a prime (12221002127) 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 7 ways as a sum of consecutive naturals, for example, 332081 + ... + 367041.

It is an arithmetic number, because the mean of its divisors is an integer number (1543240161).

Almost surely, 212221002121 is an apocalyptic number.

It is an amenable number.

12221002121 is a deficient number, since it is larger than the sum of its proper divisors (124919167).

12221002121 is a wasteful number, since it uses less digits than its factorization.

12221002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38523.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12221002121 its reverse (12120012221), we get a palindrome (24341014342).

It can be divided in two parts, 1222100 and 2121, that added together give a palindrome (1224221).

The spelling of 12221002121 in words is "twelve billion, two hundred twenty-one million, two thousand, one hundred twenty-one".

Divisors: 1 101 3461 34961 349561 3531061 121000021 12221002121