1121601768 has 256 divisors, whose sum is σ = 3525120000. Its totient is φ = 296352000.

The previous prime is 1121601737. The next prime is 1121601769. The reversal of 1121601768 is 8671061211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1121601769) 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 63 ways as a sum of consecutive naturals, for example, 11104918 + ... + 11105018.

It is an arithmetic number, because the mean of its divisors is an integer number (13770000).

Almost surely, 2^1121601768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121601768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762560000).

1121601768 is an abundant number, since it is smaller than the sum of its proper divisors (2403518232).

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

1121601768 is a wasteful number, since it uses less digits than its factorization.

1121601768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 1121601768 is about 33490.3234979897. The cubic root of 1121601768 is about 1038.9936542456.

Adding to 1121601768 its reverse (8671061211), we get a palindrome (9792662979).

The spelling of 1121601768 in words is "one billion, one hundred twenty-one million, six hundred one thousand, seven hundred sixty-eight".