125200000 has 96 divisors (see below), whose sum is σ = 312753420. Its totient is φ = 49920000.

The previous prime is 125199973. The next prime is 125200013. The reversal of 125200000 is 2521.

It can be written as a sum of positive squares in 6 ways, for example, as 52881984 + 72318016 = 7272^2 + 8504^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 125200000.

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 11 ways as a sum of consecutive naturals, for example, 399844 + ... + 400156.

Almost surely, 2^125200000 is an apocalyptic number.

125200000 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 125200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156376710).

125200000 is an abundant number, since it is smaller than the sum of its proper divisors (187553420).

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

125200000 is an frugal number, since it uses more digits than its factorization.

125200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 125200000 is about 11189.2805845595. The cubic root of 125200000 is about 500.2665245707.

Adding to 125200000 its reverse (2521), we get a palindrome (125202521).

It can be divided in two parts, 125 and 200000, that multiplied together give a square (25000000 = 5000²).

The spelling of 125200000 in words is "one hundred twenty-five million, two hundred thousand".