122345120 has 24 divisors (see below), whose sum is σ = 289040724. Its totient is φ = 48937984.

The previous prime is 122345117. The next prime is 122345129. The reversal of 122345120 is 21543221.

It can be written as a sum of positive squares in 2 ways, for example, as 104939536 + 17405584 = 10244^2 + 4172^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122345092 and 122345101.

It is not an unprimeable number, because it can be changed into a prime (122345129) 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 3 ways as a sum of consecutive naturals, for example, 382169 + ... + 382488.

Almost surely, 2^122345120 is an apocalyptic number.

122345120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122345120 is an abundant number, since it is smaller than the sum of its proper divisors (166695604).

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

122345120 is an equidigital number, since it uses as much as digits as its factorization.

122345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764672 (or 764664 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 122345120 is about 11060.9728324411. The cubic root of 122345120 is about 496.4347991066.

Adding to 122345120 its reverse (21543221), we get a palindrome (143888341).

The spelling of 122345120 in words is "one hundred twenty-two million, three hundred forty-five thousand, one hundred twenty".