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1121222001121 is a prime number
BaseRepresentation
bin10000010100001110000…
…010100000000111100001
310222012001220000010101021
4100110032002200013201
5121332230313013441
62215025434405441
7144001632521635
oct20241602400741
93865056003337
101121222001121
113a25646535a2
12161372b90881
13819666ab5a1
143c3a5ba8dc5
151e273b513d1
hex1050e0a01e1

1121222001121 has 2 divisors, whose sum is σ = 1121222001122. Its totient is φ = 1121222001120.

The previous prime is 1121222001089. The next prime is 1121222001143. The reversal of 1121222001121 is 1211002221211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1104519023521 + 16702977600 = 1050961^2 + 129240^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121222001121 - 25 = 1121222001089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1121222001095 and 1121222001104.

It is not a weakly prime, because it can be changed into another prime (1121222001521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560611000560 + 560611000561.

It is an arithmetic number, because the mean of its divisors is an integer number (560611000561).

Almost surely, 21121222001121 is an apocalyptic number.

It is an amenable number.

1121222001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121222001121 is an equidigital number, since it uses as much as digits as its factorization.

1121222001121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1121222001121 its reverse (1211002221211), we get a palindrome (2332224222332).

The spelling of 1121222001121 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-two million, one thousand, one hundred twenty-one".