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12221220001057 is a prime number
BaseRepresentation
bin1011000111010111100101…
…1110100001010100100001
31121021100002211112112100221
42301311321132201110201
53100213024310013212
641554203450243041
72400645140003554
oct261657136412441
947240084475327
1012221220001057
113991a990a1961
121454679a26481
136a85c10918b2
1430372000069b
15162d7e29c807
hexb1d797a1521

12221220001057 has 2 divisors, whose sum is σ = 12221220001058. Its totient is φ = 12221220001056.

The previous prime is 12221220000991. The next prime is 12221220001201. The reversal of 12221220001057 is 75010002212221.

It is a happy number.

12221220001057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10953346253056 + 1267873748001 = 3309584^2 + 1125999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12221220001057 is a prime.

It is a super-2 number, since 2×122212200010572 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12221220001457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110610000528 + 6110610000529.

It is an arithmetic number, because the mean of its divisors is an integer number (6110610000529).

Almost surely, 212221220001057 is an apocalyptic number.

It is an amenable number.

12221220001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221220001057 is an equidigital number, since it uses as much as digits as its factorization.

12221220001057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120, while the sum is 25.

Adding to 12221220001057 its reverse (75010002212221), we get a palindrome (87231222213278).

The spelling of 12221220001057 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty million, one thousand, fifty-seven".