123320202400 has 36 divisors (see below), whose sum is σ = 301055446062. Its totient is φ = 49328080640.

The previous prime is 123320202377. The next prime is 123320202407. The reversal of 123320202400 is 4202023321.

123320202400 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 119049841296 + 4270361104 = 345036^2 + 65348^2 .

It is not an unprimeable number, because it can be changed into a prime (123320202407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77074327 + ... + 77075926.

Almost surely, 2^123320202400 is an apocalyptic number.

123320202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123320202400 is an abundant number, since it is smaller than the sum of its proper divisors (177735243662).

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

123320202400 is a wasteful number, since it uses less digits than its factorization.

123320202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154150273 (or 154150260 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 123320202400 its reverse (4202023321), we get a palindrome (127522225721).

The spelling of 123320202400 in words is "one hundred twenty-three billion, three hundred twenty million, two hundred two thousand, four hundred".