1121211211177 has 2 divisors, whose sum is σ = 1121211211178. Its totient is φ = 1121211211176.

The previous prime is 1121211211171. The next prime is 1121211211217. The reversal of 1121211211177 is 7711121121211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 839832947776 + 281378263401 = 916424^2 + 530451^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1121211211177 is a prime.

It is a super-2 number, since 2×1121211211177² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1121211211171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560605605588 + 560605605589.

It is an arithmetic number, because the mean of its divisors is an integer number (560605605589).

Almost surely, 2^{1121211211177} is an apocalyptic number.

It is an amenable number.

1121211211177 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121211211177 is an equidigital number, since it uses as much as digits as its factorization.

1121211211177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 392, while the sum is 28.

Adding to 1121211211177 its reverse (7711121121211), we get a palindrome (8832332332388).

The spelling of 1121211211177 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, two hundred eleven thousand, one hundred seventy-seven".