1121120211121 has 12 divisors (see below), whose sum is σ = 1195186102380. Its totient is φ = 1051416826880.

The previous prime is 1121120211097. The next prime is 1121120211187. The reversal of 1121120211121 is 1211120211211.

It can be written as a sum of positive squares in 6 ways, for example, as 328466534400 + 792653676721 = 573120^2 + 890311^2 .

It is not a de Polignac number, because 1121120211121 - 2⁵ = 1121120211089 is a prime.

It is a super-2 number, since 2×1121120211121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1121120211095 and 1121120211104.

It is not an unprimeable number, because it can be changed into a prime (1121120211221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6821476 + ... + 6983893.

It is an arithmetic number, because the mean of its divisors is an integer number (99598841865).

Almost surely, 2^{1121120211121} is an apocalyptic number.

It is an amenable number.

1121120211121 is a deficient number, since it is larger than the sum of its proper divisors (74065891259).

1121120211121 is a wasteful number, since it uses less digits than its factorization.

1121120211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13805684 (or 13805667 counting only the distinct ones).

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

Adding to 1121120211121 its reverse (1211120211211), we get a palindrome (2332240422332).

The spelling of 1121120211121 in words is "one trillion, one hundred twenty-one billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty-one".