1121146080 has 48 divisors (see below), whose sum is σ = 3531611664. Its totient is φ = 298972160.

The previous prime is 1121146027. The next prime is 1121146087. The reversal of 1121146080 is 806411211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1121146080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121146087) 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 7 ways as a sum of consecutive naturals, for example, 1167381 + ... + 1168340.

It is an arithmetic number, because the mean of its divisors is an integer number (73575243).

Almost surely, 2^1121146080 is an apocalyptic number.

1121146080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121146080 is an abundant number, since it is smaller than the sum of its proper divisors (2410465584).

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

1121146080 is a wasteful number, since it uses less digits than its factorization.

1121146080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335739 (or 2335731 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1121146080 is about 33483.5195282694. The cubic root of 1121146080 is about 1038.8529266161.

Adding to 1121146080 its reverse (806411211), we get a palindrome (1927557291).

It can be divided in two parts, 11211 and 46080, that added together give a triangular number (57291 = T₃₃₈).

The spelling of 1121146080 in words is "one billion, one hundred twenty-one million, one hundred forty-six thousand, eighty".