125287120 has 120 divisors (see below), whose sum is σ = 350120448. Its totient is φ = 41529600.

The previous prime is 125287117. The next prime is 125287133. The reversal of 125287120 is 21782521.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 121005 + ... + 122035.

Almost surely, 2^125287120 is an apocalyptic number.

125287120 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 125287120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175060224).

125287120 is an abundant number, since it is smaller than the sum of its proper divisors (224833328).

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

125287120 is a wasteful number, since it uses less digits than its factorization.

125287120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 125287120 is about 11193.1729192397. The cubic root of 125287120 is about 500.3825339276.

The spelling of 125287120 in words is "one hundred twenty-five million, two hundred eighty-seven thousand, one hundred twenty".