1121122211011 has 128 divisors (see below), whose sum is σ = 1360744261632. Its totient is φ = 913397760000.

The previous prime is 1121122210973. The next prime is 1121122211089. The reversal of 1121122211011 is 1101122211211.

It is not a de Polignac number, because 1121122211011 - 2¹¹ = 1121122208963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121122211411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8183373735 + ... + 8183373871.

It is an arithmetic number, because the mean of its divisors is an integer number (10630814544).

Almost surely, 2^{1121122211011} is an apocalyptic number.

1121122211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1121122211011 is a deficient number, since it is larger than the sum of its proper divisors (239622050621).

1121122211011 is a wasteful number, since it uses less digits than its factorization.

1121122211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493.

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

Adding to 1121122211011 its reverse (1101122211211), we get a palindrome (2222244422222).

It can be divided in two parts, 11211 and 22211011, that added together give a palindrome (22222222).

The spelling of 1121122211011 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, eleven".