125511200 has 72 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 49824000.

The previous prime is 125511151. The next prime is 125511223. The reversal of 125511200 is 2115521.

It is a super-2 number, since 2×125511200² = 31506122650880000, which contains 22 as substring.

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, 120281 + ... + 121319.

It is an arithmetic number, because the mean of its divisors is an integer number (4287920).

Almost surely, 2^125511200 is an apocalyptic number.

125511200 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 125511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

125511200 is an abundant number, since it is smaller than the sum of its proper divisors (183219040).

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

125511200 is a wasteful number, since it uses less digits than its factorization.

125511200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 125511200 is about 11203.1781205156. The cubic root of 125511200 is about 500.6806729482.

Adding to 125511200 its reverse (2115521), we get a palindrome (127626721).

The spelling of 125511200 in words is "one hundred twenty-five million, five hundred eleven thousand, two hundred".