122325120 has 128 divisors (see below), whose sum is σ = 433296000. Its totient is φ = 32615424.

The previous prime is 122325083. The next prime is 122325167. The reversal of 122325120 is 21523221.

122325120 is a `hidden beast` number, since 122 + 32 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122325093 and 122325102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13741 + ... + 20819.

It is an arithmetic number, because the mean of its divisors is an integer number (3385125).

Almost surely, 2^122325120 is an apocalyptic number.

122325120 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 122325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216648000).

122325120 is an abundant number, since it is smaller than the sum of its proper divisors (310970880).

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

122325120 is an equidigital number, since it uses as much as digits as its factorization.

122325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122325120 is about 11060.0687158806. The cubic root of 122325120 is about 496.4077465712.

Adding to 122325120 its reverse (21523221), we get a palindrome (143848341).

The spelling of 122325120 in words is "one hundred twenty-two million, three hundred twenty-five thousand, one hundred twenty".