1121112212011 has 16 divisors (see below), whose sum is σ = 1235323312128. Its totient is φ = 1008952732000.

The previous prime is 1121112211979. The next prime is 1121112212021. The reversal of 1121112212011 is 1102122111211.

It is a cyclic number.

It is not a de Polignac number, because 1121112212011 - 2⁵ = 1121112211979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121112212021) 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 in 15 ways as a sum of consecutive naturals, for example, 7820400 + ... + 7962466.

It is an arithmetic number, because the mean of its divisors is an integer number (77207707008).

Almost surely, 2^{1121112212011} is an apocalyptic number.

1121112212011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1121112212011 is a deficient number, since it is larger than the sum of its proper divisors (114211100117).

1121112212011 is a wasteful number, since it uses less digits than its factorization.

1121112212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149282.

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

Adding to 1121112212011 its reverse (1102122111211), we get a palindrome (2223234323222).

The spelling of 1121112212011 in words is "one trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twelve thousand, eleven".