1125330400 has 108 divisors (see below), whose sum is σ = 2821975632. Its totient is φ = 438008320.

The previous prime is 1125330359. The next prime is 1125330439. The reversal of 1125330400 is 40335211.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 6504714 + ... + 6504886.

It is an arithmetic number, because the mean of its divisors is an integer number (26129404).

Almost surely, 2^1125330400 is an apocalyptic number.

1125330400 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 1125330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410987816).

1125330400 is an abundant number, since it is smaller than the sum of its proper divisors (1696645232).

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

1125330400 is an equidigital number, since it uses as much as digits as its factorization.

1125330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1125330400 is about 33545.9446133210. The cubic root of 1125330400 is about 1040.1437178113.

Adding to 1125330400 its reverse (40335211), we get a palindrome (1165665611).

The spelling of 1125330400 in words is "one billion, one hundred twenty-five million, three hundred thirty thousand, four hundred".