11121133122011 has 48 divisors (see below), whose sum is σ = 12552573196800. Its totient is φ = 9842224392000.

The previous prime is 11121133122007. The next prime is 11121133122061. The reversal of 11121133122011 is 11022133112111.

It is not a de Polignac number, because 11121133122011 - 2² = 11121133122007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11121133122061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308807996 + ... + 308844006.

It is an arithmetic number, because the mean of its divisors is an integer number (261511941600).

Almost surely, 2^{11121133122011} is an apocalyptic number.

11121133122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121133122011 is a deficient number, since it is larger than the sum of its proper divisors (1431440074789).

11121133122011 is a wasteful number, since it uses less digits than its factorization.

11121133122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36512 (or 36501 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 11121133122011 its reverse (11022133112111), we get a palindrome (22143266234122).

The spelling of 11121133122011 in words is "eleven trillion, one hundred twenty-one billion, one hundred thirty-three million, one hundred twenty-two thousand, eleven".