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12221202322121 = 131669356316569
BaseRepresentation
bin1011000111010111100001…
…1011000101001011001001
31121021100001121021100102112
42301311320123011023021
53100213010243301441
641554202015312105
72400644533512512
oct261657033051311
947240047240375
1012221202322121
113991a8a117471
121454673b1b635
136a85ba511aa0
1430371b91ba09
15162d7c9594eb
hexb1d786c52c9

12221202322121 has 8 divisors (see below), whose sum is σ = 13162083474120. Its totient is φ = 11280433836672.

The previous prime is 12221202322073. The next prime is 12221202322157. The reversal of 12221202322121 is 12122320212221.

12221202322121 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 1178960896 + 12220023361225 = 34336^2 + 3495715^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-12221202322121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12221202325121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27941276 + ... + 28375293.

It is an arithmetic number, because the mean of its divisors is an integer number (1645260434265).

Almost surely, 212221202322121 is an apocalyptic number.

It is an amenable number.

12221202322121 is a deficient number, since it is larger than the sum of its proper divisors (940881151999).

12221202322121 is a wasteful number, since it uses less digits than its factorization.

12221202322121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56333275.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 12221202322121 its reverse (12122320212221), we get a palindrome (24343522534342).

The spelling of 12221202322121 in words is "twelve trillion, two hundred twenty-one billion, two hundred two million, three hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 13 16693 217009 56316569 732115397 940092486317 12221202322121