1121205105 has 64 divisors (see below), whose sum is σ = 2170656000. Its totient is φ = 546932736.

The previous prime is 1121205079. The next prime is 1121205109. The reversal of 1121205105 is 5015021211.

It is not a de Polignac number, because 1121205105 - 2⁵ = 1121205073 is a prime.

It is a super-2 number, since 2×1121205105² = 2514201774956122050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1121205109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66849 + ... + 81921.

It is an arithmetic number, because the mean of its divisors is an integer number (33916500).

Almost surely, 2^1121205105 is an apocalyptic number.

1121205105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1121205105 is a deficient number, since it is larger than the sum of its proper divisors (1049450895).

1121205105 is a wasteful number, since it uses less digits than its factorization.

1121205105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15135 (or 15129 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1121205105 is about 33484.4009204286. The cubic root of 1121205105 is about 1038.8711571331.

Adding to 1121205105 its reverse (5015021211), we get a palindrome (6136226316).

The spelling of 1121205105 in words is "one billion, one hundred twenty-one million, two hundred five thousand, one hundred five".