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2222120121221 = 721121328829873
BaseRepresentation
bin100000010101100000101…
…011100011001110000101
321212102200101001010021102
4200111200223203032011
5242401400222334341
64420454454025445
7316354131245300
oct40254053431605
97772611033242
102222120121221
11787439972500
122ba7b3648285
13131711572670
14797a065db37
153cc083abc9b
hex20560ae3385

2222120121221 has 36 divisors (see below), whose sum is σ = 3059829847116. Its totient is φ = 1598328103680.

The previous prime is 2222120121209. The next prime is 2222120121233. The reversal of 2222120121221 is 1221210212222.

It is an interprime number because it is at equal distance from previous prime (2222120121209) and next prime (2222120121233).

It can be written as a sum of positive squares in 2 ways, for example, as 558665058721 + 1663455062500 = 747439^2 + 1289750^2 .

It is not a de Polignac number, because 2222120121221 - 234 = 2204940252037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2222120121193 and 2222120121202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222120121241) 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 35 ways as a sum of consecutive naturals, for example, 14337860 + ... + 14492013.

It is an arithmetic number, because the mean of its divisors is an integer number (84995273531).

Almost surely, 22222120121221 is an apocalyptic number.

It is an amenable number.

2222120121221 is a deficient number, since it is larger than the sum of its proper divisors (837709725895).

2222120121221 is a wasteful number, since it uses less digits than its factorization.

2222120121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28829922 (or 28829904 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2222120121221 its reverse (1221210212222), we get a palindrome (3443330333443).

The spelling of 2222120121221 in words is "two trillion, two hundred twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 121 143 539 637 847 1001 1573 5929 7007 11011 77077 28829873 201809111 317128603 374788349 1412663777 2219900221 2623518443 3488414633 4122671839 15539301547 18364629101 24418902431 28858702873 45349390229 170932317017 202010920111 317445731603 2222120121221