1121211221121 has 96 divisors (see below), whose sum is σ = 1731068150400. Its totient is φ = 725886551808.

The previous prime is 1121211221087. The next prime is 1121211221171. The reversal of 1121211221121 is 1211221121211.

It is a happy number.

1121211221121 is a `hidden beast` number, since 112 + 1 + 211 + 221 + 121 = 666.

It is not a de Polignac number, because 1121211221121 - 2¹⁰ = 1121211220097 is a prime.

It is a super-2 number, since 2×1121211221121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121211221094 and 1121211221103.

It is not an unprimeable number, because it can be changed into a prime (1121211221171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1022069845 + ... + 1022070941.

It is an arithmetic number, because the mean of its divisors is an integer number (18031959900).

Almost surely, 2^{1121211221121} is an apocalyptic number.

It is an amenable number.

1121211221121 is a deficient number, since it is larger than the sum of its proper divisors (609856929279).

1121211221121 is an frugal number, since it uses more digits than its factorization.

1121211221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1248 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 1121211221121 its reverse (1211221121211), we get a palindrome (2332432342332).

The spelling of 1121211221121 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty-one".