1211122011121 has 8 divisors (see below), whose sum is σ = 1326135628800. Its totient is φ = 1096926996240.

The previous prime is 1211122011083. The next prime is 1211122011161. The reversal of 1211122011121 is 1211102211121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1211122011121 - 2¹⁷ = 1211121880049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1211122011095 and 1211122011104.

It is not an unprimeable number, because it can be changed into a prime (1211122011161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204647601 + ... + 204653518.

It is an arithmetic number, because the mean of its divisors is an integer number (165766953600).

Almost surely, 2^{1211122011121} is an apocalyptic number.

1211122011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211122011121 is a deficient number, since it is larger than the sum of its proper divisors (115013617679).

1211122011121 is a wasteful number, since it uses less digits than its factorization.

1211122011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409301399.

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

Adding to 1211122011121 its reverse (1211102211121), we get a palindrome (2422224222242).

The spelling of 1211122011121 in words is "one trillion, two hundred eleven billion, one hundred twenty-two million, eleven thousand, one hundred twenty-one".