125215200 has 576 divisors, whose sum is σ = 539965440. Its totient is φ = 27648000.

The previous prime is 125215199. The next prime is 125215201. The reversal of 125215200 is 2512521.

125215200 is a `hidden beast` number, since 125 + 21 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125215199) and next prime (125215201).

It is a super-2 number, since 2×125215200² = 31357692622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125215201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4039185 + ... + 4039215.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^125215200 is an apocalyptic number.

125215200 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 125215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

125215200 is an abundant number, since it is smaller than the sum of its proper divisors (414750240).

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

125215200 is a wasteful number, since it uses less digits than its factorization.

125215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 125215200 is about 11189.9597854505. The cubic root of 125215200 is about 500.2867688292.

Adding to 125215200 its reverse (2512521), we get a palindrome (127727721).

The spelling of 125215200 in words is "one hundred twenty-five million, two hundred fifteen thousand, two hundred".