1125601600 has 168 divisors, whose sum is σ = 2936687040. Its totient is φ = 423751680.

The previous prime is 1125601597. The next prime is 1125601663. The reversal of 1125601600 is 61065211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2686191 + ... + 2686609.

It is an arithmetic number, because the mean of its divisors is an integer number (17480280).

Almost surely, 2^1125601600 is an apocalyptic number.

1125601600 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 1125601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468343520).

1125601600 is an abundant number, since it is smaller than the sum of its proper divisors (1811085440).

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

1125601600 is a wasteful number, since it uses less digits than its factorization.

1125601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1125601600 is about 33549.9865871806. The cubic root of 1125601600 is about 1040.2272678865.

Adding to 1125601600 its reverse (61065211), we get a palindrome (1186666811).

The spelling of 1125601600 in words is "one billion, one hundred twenty-five million, six hundred one thousand, six hundred".