1121305361 has 16 divisors (see below), whose sum is σ = 1277779968. Its totient is φ = 974014800.

The previous prime is 1121305321. The next prime is 1121305369. The reversal of 1121305361 is 1635031211.

It is not a de Polignac number, because 1121305361 - 2¹⁴ = 1121288977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121305369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328976 + ... + 332366.

It is an arithmetic number, because the mean of its divisors is an integer number (79861248).

Almost surely, 2^1121305361 is an apocalyptic number.

1121305361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121305361 is a deficient number, since it is larger than the sum of its proper divisors (156474607).

1121305361 is a wasteful number, since it uses less digits than its factorization.

1121305361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1121305361 is about 33485.8979422682. The cubic root of 1121305361 is about 1038.9021208292.

Adding to 1121305361 its reverse (1635031211), we get a palindrome (2756336572).

The spelling of 1121305361 in words is "one billion, one hundred twenty-one million, three hundred five thousand, three hundred sixty-one".