125288120 has 32 divisors (see below), whose sum is σ = 291621600. Its totient is φ = 48386688.

The previous prime is 125288101. The next prime is 125288129. The reversal of 125288120 is 21882521.

It is a happy number.

It is a super-2 number, since 2×125288120² = 31394226026268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125288129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52844 + ... + 55163.

It is an arithmetic number, because the mean of its divisors is an integer number (9113175).

Almost surely, 2^125288120 is an apocalyptic number.

125288120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125288120 is an abundant number, since it is smaller than the sum of its proper divisors (166333480).

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

125288120 is a wasteful number, since it uses less digits than its factorization.

125288120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108047 (or 108043 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 125288120 is about 11193.2175892368. The cubic root of 125288120 is about 500.3838652196.

The spelling of 125288120 in words is "one hundred twenty-five million, two hundred eighty-eight thousand, one hundred twenty".