1121607306 has 96 divisors (see below), whose sum is σ = 2602005120. Its totient is φ = 348566400.

The previous prime is 1121607299. The next prime is 1121607329. The reversal of 1121607306 is 6037061211.

1121607306 is a `hidden beast` number, since 1 + 1 + 21 + 607 + 30 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1121607306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1964001 + ... + 1964571.

It is an arithmetic number, because the mean of its divisors is an integer number (27104220).

Almost surely, 2^1121607306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121607306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301002560).

1121607306 is an abundant number, since it is smaller than the sum of its proper divisors (1480397814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1121607306 is a wasteful number, since it uses less digits than its factorization.

1121607306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1121607306 is about 33490.4061784864. The cubic root of 1121607306 is about 1038.9953642813.

Adding to 1121607306 its reverse (6037061211), we get a palindrome (7158668517).

The spelling of 1121607306 in words is "one billion, one hundred twenty-one million, six hundred seven thousand, three hundred six".