122321123123200 has 84 divisors (see below), whose sum is σ = 303337870449030. Its totient is φ = 48928449167360.

The previous prime is 122321123123123. The next prime is 122321123123233. The reversal of 122321123123200 is 2321321123221.

122321123123200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 116185633755136 + 6135489368064 = 10778944^2 + 2476992^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 298430755 + ... + 298840354.

Almost surely, 2^{122321123123200} is an apocalyptic number.

122321123123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122321123123200 is an abundant number, since it is smaller than the sum of its proper divisors (181016747325830).

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

122321123123200 is an frugal number, since it uses more digits than its factorization.

122321123123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597271145 (or 597271116 counting only the distinct ones).

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

Adding to 122321123123200 its reverse (2321321123221), we get a palindrome (124642444246421).

The spelling of 122321123123200 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, one hundred twenty-three million, one hundred twenty-three thousand, two hundred".