125006820 has 48 divisors (see below), whose sum is σ = 362093760. Its totient is φ = 32185216.

The previous prime is 125006813. The next prime is 125006867. The reversal of 125006820 is 28600521.

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 15 ways as a sum of consecutive naturals, for example, 34182 + ... + 37661.

It is an arithmetic number, because the mean of its divisors is an integer number (7543620).

Almost surely, 2^125006820 is an apocalyptic number.

125006820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125006820 is an abundant number, since it is smaller than the sum of its proper divisors (237086940).

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

125006820 is a wasteful number, since it uses less digits than its factorization.

125006820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71884 (or 71882 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 125006820 is about 11180.6448830110. The cubic root of 125006820 is about 500.0090931680.

The spelling of 125006820 in words is "one hundred twenty-five million, six thousand, eight hundred twenty".