125262200 has 96 divisors (see below), whose sum is σ = 335871360. Its totient is φ = 42556800.

The previous prime is 125262143. The next prime is 125262217. The reversal of 125262200 is 2262521.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 183059 + ... + 183741.

It is an arithmetic number, because the mean of its divisors is an integer number (3498660).

Almost surely, 2^125262200 is an apocalyptic number.

125262200 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 125262200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

125262200 is an abundant number, since it is smaller than the sum of its proper divisors (210609160).

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

125262200 is a wasteful number, since it uses less digits than its factorization.

125262200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 125262200 is about 11192.0596853305. The cubic root of 125262200 is about 500.3493558441.

The spelling of 125262200 in words is "one hundred twenty-five million, two hundred sixty-two thousand, two hundred".