1121120011121 has 16 divisors (see below), whose sum is σ = 1255928260608. Its totient is φ = 992095977600.

The previous prime is 1121120011111. The next prime is 1121120011159. The reversal of 1121120011121 is 1211100211211.

It is a cyclic number.

It is not a de Polignac number, because 1121120011121 - 2¹⁴ = 1121119994737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1121120011096 and 1121120011105.

It is not an unprimeable number, because it can be changed into a prime (1121120011111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7496900 + ... + 7644981.

It is an arithmetic number, because the mean of its divisors is an integer number (78495516288).

Almost surely, 2^{1121120011121} is an apocalyptic number.

1121120011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121120011121 is a deficient number, since it is larger than the sum of its proper divisors (134808249487).

1121120011121 is a wasteful number, since it uses less digits than its factorization.

1121120011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15142072.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1121120011121 its reverse (1211100211211), we get a palindrome (2332220222332).

The spelling of 1121120011121 in words is "one trillion, one hundred twenty-one billion, one hundred twenty million, eleven thousand, one hundred twenty-one".