1125253120 has 144 divisors (see below), whose sum is σ = 2887767288. Its totient is φ = 419430400.

The previous prime is 1125253117. The next prime is 1125253177. The reversal of 1125253120 is 213525211.

It can be written as a sum of positive squares in 4 ways, for example, as 1124663296 + 589824 = 33536^2 + 768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1125253091 and 1125253100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11141070 + ... + 11141170.

Almost surely, 2^1125253120 is an apocalyptic number.

1125253120 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 1125253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443883644).

1125253120 is an abundant number, since it is smaller than the sum of its proper divisors (1762514168).

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

1125253120 is an frugal number, since it uses more digits than its factorization.

1125253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1125253120 is about 33544.7927404538. The cubic root of 1125253120 is about 1040.1199072792.

Adding to 1125253120 its reverse (213525211), we get a palindrome (1338778331).

The spelling of 1125253120 in words is "one billion, one hundred twenty-five million, two hundred fifty-three thousand, one hundred twenty".