122086825 has 24 divisors (see below), whose sum is σ = 176292288. Its totient is φ = 82130880.

The previous prime is 122086823. The next prime is 122086841. The reversal of 122086825 is 528680221.

It is not a de Polignac number, because 122086825 - 2¹ = 122086823 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122086823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2694 + ... + 15856.

It is an arithmetic number, because the mean of its divisors is an integer number (7345512).

Almost surely, 2^122086825 is an apocalyptic number.

It is an amenable number.

122086825 is a deficient number, since it is larger than the sum of its proper divisors (54205463).

122086825 is a wasteful number, since it uses less digits than its factorization.

122086825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13233 (or 13228 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 122086825 is about 11049.2907012170. The cubic root of 122086825 is about 496.0851952707.

The spelling of 122086825 in words is "one hundred twenty-two million, eighty-six thousand, eight hundred twenty-five".