11121120111211 has 48 divisors (see below), whose sum is σ = 12871326564864. Its totient is φ = 9511048800000.

The previous prime is 11121120111197. The next prime is 11121120111247. The reversal of 11121120111211 is 11211102112111.

It is not a de Polignac number, because 11121120111211 - 2²³ = 11121111722603 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11121120111611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389694535 + ... + 389723071.

It is an arithmetic number, because the mean of its divisors is an integer number (268152636768).

Almost surely, 2^{11121120111211} is an apocalyptic number.

11121120111211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121120111211 is a deficient number, since it is larger than the sum of its proper divisors (1750206453653).

11121120111211 is a wasteful number, since it uses less digits than its factorization.

11121120111211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28924 (or 28823 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 11121120111211 its reverse (11211102112111), we get a palindrome (22332222223322).

Subtracting 11121120111211 from its reverse (11211102112111), we obtain a square (89982000900 = 299970²).

The spelling of 11121120111211 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty million, one hundred eleven thousand, two hundred eleven".