1121117760 has 560 divisors, whose sum is σ = 4708940544. Its totient is φ = 247836672.

The previous prime is 1121117737. The next prime is 1121117807. The reversal of 1121117760 is 677111211.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6713197 + ... + 6713363.

Almost surely, 2^1121117760 is an apocalyptic number.

1121117760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354470272).

1121117760 is an abundant number, since it is smaller than the sum of its proper divisors (3587822784).

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

1121117760 is a wasteful number, since it uses less digits than its factorization.

1121117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 27.

The square root of 1121117760 is about 33483.0966309868. The cubic root of 1121117760 is about 1038.8441794471.

Adding to 1121117760 its reverse (677111211), we get a palindrome (1798228971).

The spelling of 1121117760 in words is "one billion, one hundred twenty-one million, one hundred seventeen thousand, seven hundred sixty".