1032125200 has 30 divisors (see below), whose sum is σ = 2479681754. Its totient is φ = 412849920.

The previous prime is 1032125183. The next prime is 1032125203. The reversal of 1032125200 is 25212301.

1032125200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 113550336 + 918574864 = 10656^2 + 30308^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1032125203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1289757 + ... + 1290556.

Almost surely, 2^1032125200 is an apocalyptic number.

1032125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032125200 is an abundant number, since it is smaller than the sum of its proper divisors (1447556554).

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

1032125200 is a wasteful number, since it uses less digits than its factorization.

1032125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580331 (or 2580320 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1032125200 is about 32126.7054022039. The cubic root of 1032125200 is about 1010.5957338970.

Adding to 1032125200 its reverse (25212301), we get a palindrome (1057337501).

The spelling of 1032125200 in words is "one billion, thirty-two million, one hundred twenty-five thousand, two hundred".