122304400032 has 96 divisors (see below), whose sum is σ = 324942492672. Its totient is φ = 40275834624.

The previous prime is 122304400021. The next prime is 122304400033. The reversal of 122304400032 is 230004403221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 122304399981 and 122304400008.

It is not an unprimeable number, because it can be changed into a prime (122304400033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3753603 + ... + 3786045.

It is an arithmetic number, because the mean of its divisors is an integer number (3384817632).

Almost surely, 2^122304400032 is an apocalyptic number.

122304400032 is a gapful number since it is divisible by the number (12) 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 122304400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162471246336).

122304400032 is an abundant number, since it is smaller than the sum of its proper divisors (202638092640).

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

122304400032 is a wasteful number, since it uses less digits than its factorization.

122304400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32930 (or 32922 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 122304400032 its reverse (230004403221), we get a palindrome (352308803253).

The spelling of 122304400032 in words is "one hundred twenty-two billion, three hundred four million, four hundred thousand, thirty-two".