122123000320 has 40 divisors (see below), whose sum is σ = 292808981124. Its totient is φ = 48849199104.

The previous prime is 122123000297. The next prime is 122123000333. The reversal of 122123000320 is 23000321221.

It can be written as a sum of positive squares in 2 ways, for example, as 122119495936 + 3504384 = 349456^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122123000294 and 122123000303.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23849589 + ... + 23854708.

Almost surely, 2^122123000320 is an apocalyptic number.

122123000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122123000320 is an abundant number, since it is smaller than the sum of its proper divisors (170685980804).

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

122123000320 is an frugal number, since it uses more digits than its factorization.

122123000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47704320 (or 47704304 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 122123000320 its reverse (23000321221), we get a palindrome (145123321541).

The spelling of 122123000320 in words is "one hundred twenty-two billion, one hundred twenty-three million, three hundred twenty", and thus it is an aban number.