122321230112320 has 112 divisors (see below), whose sum is σ = 292119597745920. Its totient is φ = 48787054258176.

The previous prime is 122321230112309. The next prime is 122321230112327. The reversal of 122321230112320 is 23211032123221.

122321230112320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122321230112320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122321230112327) 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, 1200789709 + ... + 1200891571.

It is an arithmetic number, because the mean of its divisors is an integer number (2608210694160).

Almost surely, 2^{122321230112320} is an apocalyptic number.

122321230112320 is a gapful number since it is divisible by the number (10) 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 122321230112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059798872960).

122321230112320 is an abundant number, since it is smaller than the sum of its proper divisors (169798367633600).

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

122321230112320 is a wasteful number, since it uses less digits than its factorization.

122321230112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112692 (or 112682 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 122321230112320 its reverse (23211032123221), we get a palindrome (145532262235541).

The spelling of 122321230112320 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, two hundred thirty million, one hundred twelve thousand, three hundred twenty".