11211121 has 16 divisors (see below), whose sum is σ = 12254400. Its totient is φ = 10222848.

The previous prime is 11211103. The next prime is 11211131. The reversal of 11211121 is 12111211.

It is a cyclic number.

It is not a de Polignac number, because 11211121 - 2⁷ = 11210993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11211098 and 11211107.

It is not an unprimeable number, because it can be changed into a prime (11211131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81765 + ... + 81901.

It is an arithmetic number, because the mean of its divisors is an integer number (765900).

Almost surely, 2^11211121 is an apocalyptic number.

It is an amenable number.

11211121 is a deficient number, since it is larger than the sum of its proper divisors (1043279).

11211121 is a wasteful number, since it uses less digits than its factorization.

11211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288.

The product of its digits is 4, while the sum is 10.

The square root of 11211121 is about 3348.3012110621. The cubic root of 11211121 is about 223.8118171321.

Adding to 11211121 its reverse (12111211), we get a palindrome (23322332).

It can be divided in two parts, 11211 and 121, that multiplied together give a palindrome (1356531).

The spelling of 11211121 in words is "eleven million, two hundred eleven thousand, one hundred twenty-one".