1125121584 has 80 divisors (see below), whose sum is σ = 3020565600. Its totient is φ = 360450048.

The previous prime is 1125121583. The next prime is 1125121603. The reversal of 1125121584 is 4851215211.

It is not an unprimeable number, because it can be changed into a prime (1125121583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322602 + ... + 326070.

It is an arithmetic number, because the mean of its divisors is an integer number (37757070).

Almost surely, 2^1125121584 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 1125121584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510282800).

1125121584 is an abundant number, since it is smaller than the sum of its proper divisors (1895444016).

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

1125121584 is a wasteful number, since it uses less digits than its factorization.

1125121584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3736 counting only the distinct ones).

The product of its digits is 3200, while the sum is 30.

The square root of 1125121584 is about 33542.8320807889. The cubic root of 1125121584 is about 1040.0793775706.

Adding to 1125121584 its reverse (4851215211), we get a palindrome (5976336795).

The spelling of 1125121584 in words is "one billion, one hundred twenty-five million, one hundred twenty-one thousand, five hundred eighty-four".