125501200 has 90 divisors (see below), whose sum is σ = 331546922. Its totient is φ = 45619200.

The previous prime is 125501197. The next prime is 125501209. The reversal of 125501200 is 2105521.

It can be written as a sum of positive squares in 3 ways, for example, as 11182336 + 114318864 = 3344^2 + 10692^2 .

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 (125501209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47104 + ... + 49696.

Almost surely, 2^125501200 is an apocalyptic number.

125501200 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 125501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165773461).

125501200 is an abundant number, since it is smaller than the sum of its proper divisors (206045722).

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

125501200 is a wasteful number, since it uses less digits than its factorization.

125501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 125501200 is about 11202.7318096971. The cubic root of 125501200 is about 500.6673754903.

Adding to 125501200 its reverse (2105521), we get a palindrome (127606721).

The spelling of 125501200 in words is "one hundred twenty-five million, five hundred one thousand, two hundred".