1211441121 has 96 divisors (see below), whose sum is σ = 2091847680. Its totient is φ = 667699200.

The previous prime is 1211441117. The next prime is 1211441149.

1211441121 is a `hidden beast` number, since 1 + 211 + 441 + 12 + 1 = 666.

1211441121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1211441121 - 2² = 1211441117 is a prime.

It is a super-3 number, since 3×1211441121³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1211441094 and 1211441103.

It is not an unprimeable number, because it can be changed into a prime (1211441921) 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, 6276801 + ... + 6276993.

It is an arithmetic number, because the mean of its divisors is an integer number (21790080).

Almost surely, 2^1211441121 is an apocalyptic number.

1211441121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211441121 is a deficient number, since it is larger than the sum of its proper divisors (880406559).

1211441121 is a wasteful number, since it uses less digits than its factorization.

1211441121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 344 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1211441121 is about 34805.7627556128. The cubic root of 1211441121 is about 1066.0251162437.

It can be divided in two parts, 121144 and 1121, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 1211441121 in words is "one billion, two hundred eleven million, four hundred forty-one thousand, one hundred twenty-one".