122125320 has 80 divisors (see below), whose sum is σ = 410487660. Its totient is φ = 32565888.

The previous prime is 122125313. The next prime is 122125321. The reversal of 122125320 is 23521221.

122125320 is a `hidden beast` number, since 122 + 12 + 532 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113934276 + 8191044 = 10674^2 + 2862^2 .

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 = 122125293 and 122125302.

It is not an unprimeable number, because it can be changed into a prime (122125321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15607 + ... + 22086.

Almost surely, 2^122125320 is an apocalyptic number.

122125320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122125320 is an abundant number, since it is smaller than the sum of its proper divisors (288362340).

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

122125320 is a wasteful number, since it uses less digits than its factorization.

122125320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37716 (or 37703 counting only the distinct ones).

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

The square root of 122125320 is about 11051.0325309448. The cubic root of 122125320 is about 496.1373297327.

Adding to 122125320 its reverse (23521221), we get a palindrome (145646541).

The spelling of 122125320 in words is "one hundred twenty-two million, one hundred twenty-five thousand, three hundred twenty".