122330023030032 has 320 divisors, whose sum is σ = 336901649414400. Its totient is φ = 38188539289600.

The previous prime is 122330023029979. The next prime is 122330023030051. The reversal of 122330023030032 is 230030320033221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122330023029984 and 122330023030011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2430388738 + ... + 2430439070.

It is an arithmetic number, because the mean of its divisors is an integer number (1052817654420).

Almost surely, 2^{122330023030032} is an apocalyptic number.

122330023030032 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 122330023030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168450824707200).

122330023030032 is an abundant number, since it is smaller than the sum of its proper divisors (214571626384368).

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

122330023030032 is a wasteful number, since it uses less digits than its factorization.

122330023030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50826 (or 50820 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 122330023030032 its reverse (230030320033221), we get a palindrome (352360343063253).

The spelling of 122330023030032 in words is "one hundred twenty-two trillion, three hundred thirty billion, twenty-three million, thirty thousand, thirty-two".